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Finding the Fourth Proportional to 32,478.94, 48,720.84 and 9,104.50

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Solution

The fourth proportional to 32,478.94, 48,720.84 and 9,104.50 is: 13,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478.94 : 48,720.84 = 9,104.50 : x
  2. Step 2: Convert to fraction form
    32,478.94/48,720.84 = 9,104.50/x
  3. Step 3: Cross multiply
    32,478.94x = 48,720.84 × 9,104.50
  4. Step 4: Simplify right side
    32,478.94x = 443,578,887.78
  5. Step 5: Solve for x
    x = 443,578,887.78/32,478.94
  6. Step 6: Final answer
    x = 13,657.43

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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.