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Finding the Fourth Proportional to 109,411.38, 150,987.71 and 59,110.38

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Solution

The fourth proportional to 109,411.38, 150,987.71 and 59,110.38 is: 81,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,411.38 : 150,987.71 = 59,110.38 : x
  2. Step 2: Convert to fraction form
    109,411.38/150,987.71 = 59,110.38/x
  3. Step 3: Cross multiply
    109,411.38x = 150,987.71 × 59,110.38
  4. Step 4: Simplify right side
    109,411.38x = 8,924,939,862.94
  5. Step 5: Solve for x
    x = 8,924,939,862.94/109,411.38
  6. Step 6: Final answer
    x = 81,572.32

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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.