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Finding the Fourth Proportional to 97,475.52, 134,501.02 and 55,033.14

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Solution

The fourth proportional to 97,475.52, 134,501.02 and 55,033.14 is: 75,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,475.52 : 134,501.02 = 55,033.14 : x
  2. Step 2: Convert to fraction form
    97,475.52/134,501.02 = 55,033.14/x
  3. Step 3: Cross multiply
    97,475.52x = 134,501.02 × 55,033.14
  4. Step 4: Simplify right side
    97,475.52x = 7,402,013,463.80
  5. Step 5: Solve for x
    x = 7,402,013,463.80/97,475.52
  6. Step 6: Final answer
    x = 75,937.15

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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.