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Finding the Fourth Proportional to 76,171.68, 114,365.10 and 48,000.42

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Solution

The fourth proportional to 76,171.68, 114,365.10 and 48,000.42 is: 72,068.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,171.68 : 114,365.10 = 48,000.42 : x
  2. Step 2: Convert to fraction form
    76,171.68/114,365.10 = 48,000.42/x
  3. Step 3: Cross multiply
    76,171.68x = 114,365.10 × 48,000.42
  4. Step 4: Simplify right side
    76,171.68x = 5,489,572,833.34
  5. Step 5: Solve for x
    x = 5,489,572,833.34/76,171.68
  6. Step 6: Final answer
    x = 72,068.42

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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.