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Finding the Fourth Proportional to 83,232.96, 124,823.52 and 27,816

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Solution

The fourth proportional to 83,232.96, 124,823.52 and 27,816 is: 41,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,232.96 : 124,823.52 = 27,816 : x
  2. Step 2: Convert to fraction form
    83,232.96/124,823.52 = 27,816/x
  3. Step 3: Cross multiply
    83,232.96x = 124,823.52 × 27,816
  4. Step 4: Simplify right side
    83,232.96x = 3,472,091,032.32
  5. Step 5: Solve for x
    x = 3,472,091,032.32/83,232.96
  6. Step 6: Final answer
    x = 41,715.34

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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.