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Finding the Fourth Proportional to 65,218.91, 97,853.00 and 23,097.29

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Solution

The fourth proportional to 65,218.91, 97,853.00 and 23,097.29 is: 34,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,218.91 : 97,853.00 = 23,097.29 : x
  2. Step 2: Convert to fraction form
    65,218.91/97,853.00 = 23,097.29/x
  3. Step 3: Cross multiply
    65,218.91x = 97,853.00 × 23,097.29
  4. Step 4: Simplify right side
    65,218.91x = 2,260,138,513.62
  5. Step 5: Solve for x
    x = 2,260,138,513.62/65,218.91
  6. Step 6: Final answer
    x = 34,654.65

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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.