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Finding the Fourth Proportional to 32,752.56, 49,132.98 and 10,565.44

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Solution

The fourth proportional to 32,752.56, 49,132.98 and 10,565.44 is: 15,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,752.56 : 49,132.98 = 10,565.44 : x
  2. Step 2: Convert to fraction form
    32,752.56/49,132.98 = 10,565.44/x
  3. Step 3: Cross multiply
    32,752.56x = 49,132.98 × 10,565.44
  4. Step 4: Simplify right side
    32,752.56x = 519,111,552.21
  5. Step 5: Solve for x
    x = 519,111,552.21/32,752.56
  6. Step 6: Final answer
    x = 15,849.50

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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.