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Finding the Fourth Proportional to 97,854.87, 135,042.90 and 55,412.49

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Solution

The fourth proportional to 97,854.87, 135,042.90 and 55,412.49 is: 76,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,854.87 : 135,042.90 = 55,412.49 : x
  2. Step 2: Convert to fraction form
    97,854.87/135,042.90 = 55,412.49/x
  3. Step 3: Cross multiply
    97,854.87x = 135,042.90 × 55,412.49
  4. Step 4: Simplify right side
    97,854.87x = 7,483,063,345.82
  5. Step 5: Solve for x
    x = 7,483,063,345.82/97,854.87
  6. Step 6: Final answer
    x = 76,471.04

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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.