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Finding the Fourth Proportional to 58,842.57, 81,203.24 and 31,985.08

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Solution

The fourth proportional to 58,842.57, 81,203.24 and 31,985.08 is: 44,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,842.57 : 81,203.24 = 31,985.08 : x
  2. Step 2: Convert to fraction form
    58,842.57/81,203.24 = 31,985.08/x
  3. Step 3: Cross multiply
    58,842.57x = 81,203.24 × 31,985.08
  4. Step 4: Simplify right side
    58,842.57x = 2,597,292,127.66
  5. Step 5: Solve for x
    x = 2,597,292,127.66/58,842.57
  6. Step 6: Final answer
    x = 44,139.68

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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.