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Finding the Fourth Proportional to 97,363.86, 134,346.93 and 54,921.30

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Solution

The fourth proportional to 97,363.86, 134,346.93 and 54,921.30 is: 75,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,363.86 : 134,346.93 = 54,921.30 : x
  2. Step 2: Convert to fraction form
    97,363.86/134,346.93 = 54,921.30/x
  3. Step 3: Cross multiply
    97,363.86x = 134,346.93 × 54,921.30
  4. Step 4: Simplify right side
    97,363.86x = 7,378,508,046.61
  5. Step 5: Solve for x
    x = 7,378,508,046.61/97,363.86
  6. Step 6: Final answer
    x = 75,782.82

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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.