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Finding the Fourth Proportional to 32,978,025.60, 49,443,418.80 and 13,798,910.40

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Solution

The fourth proportional to 32,978,025.60, 49,443,418.80 and 13,798,910.40 is: 20,688,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,978,025.60 : 49,443,418.80 = 13,798,910.40 : x
  2. Step 2: Convert to fraction form
    32,978,025.60/49,443,418.80 = 13,798,910.40/x
  3. Step 3: Cross multiply
    32,978,025.60x = 49,443,418.80 × 13,798,910.40
  4. Step 4: Simplify right side
    32,978,025.60x = 682,265,305,890,875.50
  5. Step 5: Solve for x
    x = 682,265,305,890,875.50/32,978,025.60
  6. Step 6: Final answer
    x = 20,688,482.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.