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Finding the Fourth Proportional to 58,221, 80,344.98 and 31,725

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Solution

The fourth proportional to 58,221, 80,344.98 and 31,725 is: 43,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,221 : 80,344.98 = 31,725 : x
  2. Step 2: Convert to fraction form
    58,221/80,344.98 = 31,725/x
  3. Step 3: Cross multiply
    58,221x = 80,344.98 × 31,725
  4. Step 4: Simplify right side
    58,221x = 2,548,944,490.50
  5. Step 5: Solve for x
    x = 2,548,944,490.50/58,221
  6. Step 6: Final answer
    x = 43,780.50

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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.