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Finding the Fourth Proportional to 76,937.34, 106,175.70 and 42,945.12

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Solution

The fourth proportional to 76,937.34, 106,175.70 and 42,945.12 is: 59,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,937.34 : 106,175.70 = 42,945.12 : x
  2. Step 2: Convert to fraction form
    76,937.34/106,175.70 = 42,945.12/x
  3. Step 3: Cross multiply
    76,937.34x = 106,175.70 × 42,945.12
  4. Step 4: Simplify right side
    76,937.34x = 4,559,728,177.58
  5. Step 5: Solve for x
    x = 4,559,728,177.58/76,937.34
  6. Step 6: Final answer
    x = 59,265.48

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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.