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Finding the Fourth Proportional to 58,841.42, 81,201.71 and 31,984.00

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Solution

The fourth proportional to 58,841.42, 81,201.71 and 31,984.00 is: 44,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,841.42 : 81,201.71 = 31,984.00 : x
  2. Step 2: Convert to fraction form
    58,841.42/81,201.71 = 31,984.00/x
  3. Step 3: Cross multiply
    58,841.42x = 81,201.71 × 31,984.00
  4. Step 4: Simplify right side
    58,841.42x = 2,597,155,189.69
  5. Step 5: Solve for x
    x = 2,597,155,189.69/58,841.42
  6. Step 6: Final answer
    x = 44,138.21

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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.