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Finding the Fourth Proportional to 76,688.98, 115,027.97 and 24,113.50

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Solution

The fourth proportional to 76,688.98, 115,027.97 and 24,113.50 is: 36,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,688.98 : 115,027.97 = 24,113.50 : x
  2. Step 2: Convert to fraction form
    76,688.98/115,027.97 = 24,113.50/x
  3. Step 3: Cross multiply
    76,688.98x = 115,027.97 × 24,113.50
  4. Step 4: Simplify right side
    76,688.98x = 2,773,726,546.46
  5. Step 5: Solve for x
    x = 2,773,726,546.46/76,688.98
  6. Step 6: Final answer
    x = 36,168.52

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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.