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Finding the Fourth Proportional to 31,079.56, 42,852.14 and 24,182.72

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Solution

The fourth proportional to 31,079.56, 42,852.14 and 24,182.72 is: 33,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,079.56 : 42,852.14 = 24,182.72 : x
  2. Step 2: Convert to fraction form
    31,079.56/42,852.14 = 24,182.72/x
  3. Step 3: Cross multiply
    31,079.56x = 42,852.14 × 24,182.72
  4. Step 4: Simplify right side
    31,079.56x = 1,036,280,967.85
  5. Step 5: Solve for x
    x = 1,036,280,967.85/31,079.56
  6. Step 6: Final answer
    x = 33,342.85

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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.