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Finding the Fourth Proportional to 42,902.64, 64,353.56 and 11,737.84

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Solution

The fourth proportional to 42,902.64, 64,353.56 and 11,737.84 is: 17,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,902.64 : 64,353.56 = 11,737.84 : x
  2. Step 2: Convert to fraction form
    42,902.64/64,353.56 = 11,737.84/x
  3. Step 3: Cross multiply
    42,902.64x = 64,353.56 × 11,737.84
  4. Step 4: Simplify right side
    42,902.64x = 755,371,790.71
  5. Step 5: Solve for x
    x = 755,371,790.71/42,902.64
  6. Step 6: Final answer
    x = 17,606.65

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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.