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Finding the Fourth Proportional to 59,399.49, 81,971.31 and 32,542.95

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Solution

The fourth proportional to 59,399.49, 81,971.31 and 32,542.95 is: 44,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,399.49 : 81,971.31 = 32,542.95 : x
  2. Step 2: Convert to fraction form
    59,399.49/81,971.31 = 32,542.95/x
  3. Step 3: Cross multiply
    59,399.49x = 81,971.31 × 32,542.95
  4. Step 4: Simplify right side
    59,399.49x = 2,667,588,242.76
  5. Step 5: Solve for x
    x = 2,667,588,242.76/59,399.49
  6. Step 6: Final answer
    x = 44,909.28

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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.