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Finding the Fourth Proportional to 110,590.13, 165,934.20 and 57,987.11

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Solution

The fourth proportional to 110,590.13, 165,934.20 and 57,987.11 is: 87,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,590.13 : 165,934.20 = 57,987.11 : x
  2. Step 2: Convert to fraction form
    110,590.13/165,934.20 = 57,987.11/x
  3. Step 3: Cross multiply
    110,590.13x = 165,934.20 × 57,987.11
  4. Step 4: Simplify right side
    110,590.13x = 9,622,044,708.16
  5. Step 5: Solve for x
    x = 9,622,044,708.16/110,590.13
  6. Step 6: Final answer
    x = 87,006.36

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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.