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Finding the Fourth Proportional to 58,842.70, 81,204.51 and 31,987.02

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Solution

The fourth proportional to 58,842.70, 81,204.51 and 31,987.02 is: 44,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,842.70 : 81,204.51 = 31,987.02 : x
  2. Step 2: Convert to fraction form
    58,842.70/81,204.51 = 31,987.02/x
  3. Step 3: Cross multiply
    58,842.70x = 81,204.51 × 31,987.02
  4. Step 4: Simplify right side
    58,842.70x = 2,597,490,285.46
  5. Step 5: Solve for x
    x = 2,597,490,285.46/58,842.70
  6. Step 6: Final answer
    x = 44,142.95

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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.