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Finding the Fourth Proportional to 31,077.35, 42,873.08 and 21,002.12

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Solution

The fourth proportional to 31,077.35, 42,873.08 and 21,002.12 is: 28,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077.35 : 42,873.08 = 21,002.12 : x
  2. Step 2: Convert to fraction form
    31,077.35/42,873.08 = 21,002.12/x
  3. Step 3: Cross multiply
    31,077.35x = 42,873.08 × 21,002.12
  4. Step 4: Simplify right side
    31,077.35x = 900,425,251.55
  5. Step 5: Solve for x
    x = 900,425,251.55/31,077.35
  6. Step 6: Final answer
    x = 28,973.69

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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.