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Finding the Fourth Proportional to 97,856.52, 135,042.08 and 53,144.52

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Solution

The fourth proportional to 97,856.52, 135,042.08 and 53,144.52 is: 73,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,856.52 : 135,042.08 = 53,144.52 : x
  2. Step 2: Convert to fraction form
    97,856.52/135,042.08 = 53,144.52/x
  3. Step 3: Cross multiply
    97,856.52x = 135,042.08 × 53,144.52
  4. Step 4: Simplify right side
    97,856.52x = 7,176,746,521.40
  5. Step 5: Solve for x
    x = 7,176,746,521.40/97,856.52
  6. Step 6: Final answer
    x = 73,339.48

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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.