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Finding the Fourth Proportional to 97,347.60, 134,331.52 and 54,916.56

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Solution

The fourth proportional to 97,347.60, 134,331.52 and 54,916.56 is: 75,780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,347.60 : 134,331.52 = 54,916.56 : x
  2. Step 2: Convert to fraction form
    97,347.60/134,331.52 = 54,916.56/x
  3. Step 3: Cross multiply
    97,347.60x = 134,331.52 × 54,916.56
  4. Step 4: Simplify right side
    97,347.60x = 7,377,024,977.97
  5. Step 5: Solve for x
    x = 7,377,024,977.97/97,347.60
  6. Step 6: Final answer
    x = 75,780.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.