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Finding the Fourth Proportional to 31,182.96, 42,999.72 and 20,559

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Solution

The fourth proportional to 31,182.96, 42,999.72 and 20,559 is: 28,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.96 : 42,999.72 = 20,559 : x
  2. Step 2: Convert to fraction form
    31,182.96/42,999.72 = 20,559/x
  3. Step 3: Cross multiply
    31,182.96x = 42,999.72 × 20,559
  4. Step 4: Simplify right side
    31,182.96x = 884,031,243.48
  5. Step 5: Solve for x
    x = 884,031,243.48/31,182.96
  6. Step 6: Final answer
    x = 28,349.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.