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Finding the Fourth Proportional to 49,765.60, 74,646.80 and 16,487.20

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Solution

The fourth proportional to 49,765.60, 74,646.80 and 16,487.20 is: 24,730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,765.60 : 74,646.80 = 16,487.20 : x
  2. Step 2: Convert to fraction form
    49,765.60/74,646.80 = 16,487.20/x
  3. Step 3: Cross multiply
    49,765.60x = 74,646.80 × 16,487.20
  4. Step 4: Simplify right side
    49,765.60x = 1,230,716,720.96
  5. Step 5: Solve for x
    x = 1,230,716,720.96/49,765.60
  6. Step 6: Final answer
    x = 24,730.27

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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.