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Finding the Fourth Proportional to 83,291.24, 114,944.63 and 45,565.49

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Solution

The fourth proportional to 83,291.24, 114,944.63 and 45,565.49 is: 62,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,291.24 : 114,944.63 = 45,565.49 : x
  2. Step 2: Convert to fraction form
    83,291.24/114,944.63 = 45,565.49/x
  3. Step 3: Cross multiply
    83,291.24x = 114,944.63 × 45,565.49
  4. Step 4: Simplify right side
    83,291.24x = 5,237,508,388.82
  5. Step 5: Solve for x
    x = 5,237,508,388.82/83,291.24
  6. Step 6: Final answer
    x = 62,881.86

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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.