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Finding the Fourth Proportional to 65,053.82, 97,613.52 and 25,639.22

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Solution

The fourth proportional to 65,053.82, 97,613.52 and 25,639.22 is: 38,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,053.82 : 97,613.52 = 25,639.22 : x
  2. Step 2: Convert to fraction form
    65,053.82/97,613.52 = 25,639.22/x
  3. Step 3: Cross multiply
    65,053.82x = 97,613.52 × 25,639.22
  4. Step 4: Simplify right side
    65,053.82x = 2,502,734,514.25
  5. Step 5: Solve for x
    x = 2,502,734,514.25/65,053.82
  6. Step 6: Final answer
    x = 38,471.75

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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.