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Finding the Fourth Proportional to 76,432.48, 105,471.04 and 42,892

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Solution

The fourth proportional to 76,432.48, 105,471.04 and 42,892 is: 59,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,432.48 : 105,471.04 = 42,892 : x
  2. Step 2: Convert to fraction form
    76,432.48/105,471.04 = 42,892/x
  3. Step 3: Cross multiply
    76,432.48x = 105,471.04 × 42,892
  4. Step 4: Simplify right side
    76,432.48x = 4,523,863,847.68
  5. Step 5: Solve for x
    x = 4,523,863,847.68/76,432.48
  6. Step 6: Final answer
    x = 59,187.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.