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Finding the Fourth Proportional to 92,118.54, 138,076.35 and 35,948.28

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Solution

The fourth proportional to 92,118.54, 138,076.35 and 35,948.28 is: 53,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,118.54 : 138,076.35 = 35,948.28 : x
  2. Step 2: Convert to fraction form
    92,118.54/138,076.35 = 35,948.28/x
  3. Step 3: Cross multiply
    92,118.54x = 138,076.35 × 35,948.28
  4. Step 4: Simplify right side
    92,118.54x = 4,963,607,291.18
  5. Step 5: Solve for x
    x = 4,963,607,291.18/92,118.54
  6. Step 6: Final answer
    x = 53,882.83

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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.