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Finding the Fourth Proportional to 32,616.68, 48,931.17 and 10,424.10

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Solution

The fourth proportional to 32,616.68, 48,931.17 and 10,424.10 is: 15,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,616.68 : 48,931.17 = 10,424.10 : x
  2. Step 2: Convert to fraction form
    32,616.68/48,931.17 = 10,424.10/x
  3. Step 3: Cross multiply
    32,616.68x = 48,931.17 × 10,424.10
  4. Step 4: Simplify right side
    32,616.68x = 510,063,409.20
  5. Step 5: Solve for x
    x = 510,063,409.20/32,616.68
  6. Step 6: Final answer
    x = 15,638.11

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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.