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Finding the Fourth Proportional to 32,428.87, 48,641.54 and 9,939.52

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Solution

The fourth proportional to 32,428.87, 48,641.54 and 9,939.52 is: 14,908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,428.87 : 48,641.54 = 9,939.52 : x
  2. Step 2: Convert to fraction form
    32,428.87/48,641.54 = 9,939.52/x
  3. Step 3: Cross multiply
    32,428.87x = 48,641.54 × 9,939.52
  4. Step 4: Simplify right side
    32,428.87x = 483,473,559.66
  5. Step 5: Solve for x
    x = 483,473,559.66/32,428.87
  6. Step 6: Final answer
    x = 14,908.74

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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.