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Finding the Fourth Proportional to 55,921.17, 83,886.41 and 24,332.31

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Solution

The fourth proportional to 55,921.17, 83,886.41 and 24,332.31 is: 36,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,921.17 : 83,886.41 = 24,332.31 : x
  2. Step 2: Convert to fraction form
    55,921.17/83,886.41 = 24,332.31/x
  3. Step 3: Cross multiply
    55,921.17x = 83,886.41 × 24,332.31
  4. Step 4: Simplify right side
    55,921.17x = 2,041,150,011.25
  5. Step 5: Solve for x
    x = 2,041,150,011.25/55,921.17
  6. Step 6: Final answer
    x = 36,500.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.