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Finding the Fourth Proportional to 98,535.40, 135,979.02 and 53,823.40

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Solution

The fourth proportional to 98,535.40, 135,979.02 and 53,823.40 is: 74,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,535.40 : 135,979.02 = 53,823.40 : x
  2. Step 2: Convert to fraction form
    98,535.40/135,979.02 = 53,823.40/x
  3. Step 3: Cross multiply
    98,535.40x = 135,979.02 × 53,823.40
  4. Step 4: Simplify right side
    98,535.40x = 7,318,853,185.07
  5. Step 5: Solve for x
    x = 7,318,853,185.07/98,535.40
  6. Step 6: Final answer
    x = 74,276.38

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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.