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Finding the Fourth Proportional to 97,149.66, 134,073.39 and 54,132

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Solution

The fourth proportional to 97,149.66, 134,073.39 and 54,132 is: 74,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,149.66 : 134,073.39 = 54,132 : x
  2. Step 2: Convert to fraction form
    97,149.66/134,073.39 = 54,132/x
  3. Step 3: Cross multiply
    97,149.66x = 134,073.39 × 54,132
  4. Step 4: Simplify right side
    97,149.66x = 7,257,660,747.48
  5. Step 5: Solve for x
    x = 7,257,660,747.48/97,149.66
  6. Step 6: Final answer
    x = 74,705.98

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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.