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Finding the Fourth Proportional to 76,377.30, 105,397.89 and 42,387.27

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Solution

The fourth proportional to 76,377.30, 105,397.89 and 42,387.27 is: 58,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,377.30 : 105,397.89 = 42,387.27 : x
  2. Step 2: Convert to fraction form
    76,377.30/105,397.89 = 42,387.27/x
  3. Step 3: Cross multiply
    76,377.30x = 105,397.89 × 42,387.27
  4. Step 4: Simplify right side
    76,377.30x = 4,467,528,820.86
  5. Step 5: Solve for x
    x = 4,467,528,820.86/76,377.30
  6. Step 6: Final answer
    x = 58,492.89

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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.