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Finding the Fourth Proportional to 65,097.08, 97,644.92 and 49,398.52

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Solution

The fourth proportional to 65,097.08, 97,644.92 and 49,398.52 is: 74,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097.08 : 97,644.92 = 49,398.52 : x
  2. Step 2: Convert to fraction form
    65,097.08/97,644.92 = 49,398.52/x
  3. Step 3: Cross multiply
    65,097.08x = 97,644.92 × 49,398.52
  4. Step 4: Simplify right side
    65,097.08x = 4,823,514,089.80
  5. Step 5: Solve for x
    x = 4,823,514,089.80/65,097.08
  6. Step 6: Final answer
    x = 74,097.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.