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Finding the Fourth Proportional to 32,729.52, 49,102.20 and 10,545

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Solution

The fourth proportional to 32,729.52, 49,102.20 and 10,545 is: 15,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729.52 : 49,102.20 = 10,545 : x
  2. Step 2: Convert to fraction form
    32,729.52/49,102.20 = 10,545/x
  3. Step 3: Cross multiply
    32,729.52x = 49,102.20 × 10,545
  4. Step 4: Simplify right side
    32,729.52x = 517,782,699.00
  5. Step 5: Solve for x
    x = 517,782,699.00/32,729.52
  6. Step 6: Final answer
    x = 15,820.05

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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.