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Finding the Fourth Proportional to 32,032.29, 48,053.03 and 9,847.52

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Solution

The fourth proportional to 32,032.29, 48,053.03 and 9,847.52 is: 14,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032.29 : 48,053.03 = 9,847.52 : x
  2. Step 2: Convert to fraction form
    32,032.29/48,053.03 = 9,847.52/x
  3. Step 3: Cross multiply
    32,032.29x = 48,053.03 × 9,847.52
  4. Step 4: Simplify right side
    32,032.29x = 473,203,334.98
  5. Step 5: Solve for x
    x = 473,203,334.98/32,032.29
  6. Step 6: Final answer
    x = 14,772.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.