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Finding the Fourth Proportional to 117,036.78, 175,569.75 and 38,129.82

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Solution

The fourth proportional to 117,036.78, 175,569.75 and 38,129.82 is: 57,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,036.78 : 175,569.75 = 38,129.82 : x
  2. Step 2: Convert to fraction form
    117,036.78/175,569.75 = 38,129.82/x
  3. Step 3: Cross multiply
    117,036.78x = 175,569.75 × 38,129.82
  4. Step 4: Simplify right side
    117,036.78x = 6,694,442,964.95
  5. Step 5: Solve for x
    x = 6,694,442,964.95/117,036.78
  6. Step 6: Final answer
    x = 57,199.48

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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.