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Finding the Fourth Proportional to 76,688.91, 114,877.65 and 38,714.73

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Solution

The fourth proportional to 76,688.91, 114,877.65 and 38,714.73 is: 57,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,688.91 : 114,877.65 = 38,714.73 : x
  2. Step 2: Convert to fraction form
    76,688.91/114,877.65 = 38,714.73/x
  3. Step 3: Cross multiply
    76,688.91x = 114,877.65 × 38,714.73
  4. Step 4: Simplify right side
    76,688.91x = 4,447,457,202.78
  5. Step 5: Solve for x
    x = 4,447,457,202.78/76,688.91
  6. Step 6: Final answer
    x = 57,993.49

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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.