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Finding the Fourth Proportional to 42,737.68, 64,010.94 and 24,703.84

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Solution

The fourth proportional to 42,737.68, 64,010.94 and 24,703.84 is: 37,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,737.68 : 64,010.94 = 24,703.84 : x
  2. Step 2: Convert to fraction form
    42,737.68/64,010.94 = 24,703.84/x
  3. Step 3: Cross multiply
    42,737.68x = 64,010.94 × 24,703.84
  4. Step 4: Simplify right side
    42,737.68x = 1,581,316,020.01
  5. Step 5: Solve for x
    x = 1,581,316,020.01/42,737.68
  6. Step 6: Final answer
    x = 37,000.51

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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.