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Finding the Fourth Proportional to 32,656.52, 48,959.40 and 10,457.12

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Solution

The fourth proportional to 32,656.52, 48,959.40 and 10,457.12 is: 15,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,656.52 : 48,959.40 = 10,457.12 : x
  2. Step 2: Convert to fraction form
    32,656.52/48,959.40 = 10,457.12/x
  3. Step 3: Cross multiply
    32,656.52x = 48,959.40 × 10,457.12
  4. Step 4: Simplify right side
    32,656.52x = 511,974,320.93
  5. Step 5: Solve for x
    x = 511,974,320.93/32,656.52
  6. Step 6: Final answer
    x = 15,677.55

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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.