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Finding the Fourth Proportional to 52,265.52, 78,398.16 and 22,679.52

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Solution

The fourth proportional to 52,265.52, 78,398.16 and 22,679.52 is: 34,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,265.52 : 78,398.16 = 22,679.52 : x
  2. Step 2: Convert to fraction form
    52,265.52/78,398.16 = 22,679.52/x
  3. Step 3: Cross multiply
    52,265.52x = 78,398.16 × 22,679.52
  4. Step 4: Simplify right side
    52,265.52x = 1,778,032,637.68
  5. Step 5: Solve for x
    x = 1,778,032,637.68/52,265.52
  6. Step 6: Final answer
    x = 34,019.23

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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.