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Finding the Fourth Proportional to 98,246.52, 135,580.78 and 53,534.52

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Solution

The fourth proportional to 98,246.52, 135,580.78 and 53,534.52 is: 73,877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,246.52 : 135,580.78 = 53,534.52 : x
  2. Step 2: Convert to fraction form
    98,246.52/135,580.78 = 53,534.52/x
  3. Step 3: Cross multiply
    98,246.52x = 135,580.78 × 53,534.52
  4. Step 4: Simplify right side
    98,246.52x = 7,258,251,978.53
  5. Step 5: Solve for x
    x = 7,258,251,978.53/98,246.52
  6. Step 6: Final answer
    x = 73,877.95

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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.