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Finding the Fourth Proportional to 81,354.32, 112,334.28 and 65,387.60

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Solution

The fourth proportional to 81,354.32, 112,334.28 and 65,387.60 is: 90,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,354.32 : 112,334.28 = 65,387.60 : x
  2. Step 2: Convert to fraction form
    81,354.32/112,334.28 = 65,387.60/x
  3. Step 3: Cross multiply
    81,354.32x = 112,334.28 × 65,387.60
  4. Step 4: Simplify right side
    81,354.32x = 7,345,268,966.93
  5. Step 5: Solve for x
    x = 7,345,268,966.93/81,354.32
  6. Step 6: Final answer
    x = 90,287.39

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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.