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Finding the Fourth Proportional to 106,372.34, 159,560.16 and 31,500.06

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Solution

The fourth proportional to 106,372.34, 159,560.16 and 31,500.06 is: 47,250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,372.34 : 159,560.16 = 31,500.06 : x
  2. Step 2: Convert to fraction form
    106,372.34/159,560.16 = 31,500.06/x
  3. Step 3: Cross multiply
    106,372.34x = 159,560.16 × 31,500.06
  4. Step 4: Simplify right side
    106,372.34x = 5,026,154,613.61
  5. Step 5: Solve for x
    x = 5,026,154,613.61/106,372.34
  6. Step 6: Final answer
    x = 47,250.58

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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.