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Finding the Fourth Proportional to 96,498, 133,167.24 and 54,056.52

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Solution

The fourth proportional to 96,498, 133,167.24 and 54,056.52 is: 74,598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,498 : 133,167.24 = 54,056.52 : x
  2. Step 2: Convert to fraction form
    96,498/133,167.24 = 54,056.52/x
  3. Step 3: Cross multiply
    96,498x = 133,167.24 × 54,056.52
  4. Step 4: Simplify right side
    96,498x = 7,198,557,572.40
  5. Step 5: Solve for x
    x = 7,198,557,572.40/96,498
  6. Step 6: Final answer
    x = 74,598.00

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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.