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Finding the Fourth Proportional to 98,542, 135,987.96 and 53,830

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Solution

The fourth proportional to 98,542, 135,987.96 and 53,830 is: 74,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,542 : 135,987.96 = 53,830 : x
  2. Step 2: Convert to fraction form
    98,542/135,987.96 = 53,830/x
  3. Step 3: Cross multiply
    98,542x = 135,987.96 × 53,830
  4. Step 4: Simplify right side
    98,542x = 7,320,231,886.80
  5. Step 5: Solve for x
    x = 7,320,231,886.80/98,542
  6. Step 6: Final answer
    x = 74,285.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.