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Finding the Fourth Proportional to 83,762.52, 115,590.33 and 45,521.16

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Solution

The fourth proportional to 83,762.52, 115,590.33 and 45,521.16 is: 62,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,762.52 : 115,590.33 = 45,521.16 : x
  2. Step 2: Convert to fraction form
    83,762.52/115,590.33 = 45,521.16/x
  3. Step 3: Cross multiply
    83,762.52x = 115,590.33 × 45,521.16
  4. Step 4: Simplify right side
    83,762.52x = 5,261,805,906.38
  5. Step 5: Solve for x
    x = 5,261,805,906.38/83,762.52
  6. Step 6: Final answer
    x = 62,818.14

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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.