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Finding the Fourth Proportional to 83,175.58, 114,802.28 and 47,374.39

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Solution

The fourth proportional to 83,175.58, 114,802.28 and 47,374.39 is: 65,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,175.58 : 114,802.28 = 47,374.39 : x
  2. Step 2: Convert to fraction form
    83,175.58/114,802.28 = 47,374.39/x
  3. Step 3: Cross multiply
    83,175.58x = 114,802.28 × 47,374.39
  4. Step 4: Simplify right side
    83,175.58x = 5,438,687,985.61
  5. Step 5: Solve for x
    x = 5,438,687,985.61/83,175.58
  6. Step 6: Final answer
    x = 65,388.04

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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.