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Finding the Fourth Proportional to 83,716, 125,582.24 and 27,533.28

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Solution

The fourth proportional to 83,716, 125,582.24 and 27,533.28 is: 41,302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,716 : 125,582.24 = 27,533.28 : x
  2. Step 2: Convert to fraction form
    83,716/125,582.24 = 27,533.28/x
  3. Step 3: Cross multiply
    83,716x = 125,582.24 × 27,533.28
  4. Step 4: Simplify right side
    83,716x = 3,457,690,976.95
  5. Step 5: Solve for x
    x = 3,457,690,976.95/83,716
  6. Step 6: Final answer
    x = 41,302.63

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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.