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Finding the Fourth Proportional to 83,032.56, 124,547.52 and 38,634.48

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Solution

The fourth proportional to 83,032.56, 124,547.52 and 38,634.48 is: 57,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,032.56 : 124,547.52 = 38,634.48 : x
  2. Step 2: Convert to fraction form
    83,032.56/124,547.52 = 38,634.48/x
  3. Step 3: Cross multiply
    83,032.56x = 124,547.52 × 38,634.48
  4. Step 4: Simplify right side
    83,032.56x = 4,811,828,670.49
  5. Step 5: Solve for x
    x = 4,811,828,670.49/83,032.56
  6. Step 6: Final answer
    x = 57,951.11

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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.