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Finding the Fourth Proportional to 31,156.64, 42,980.16 and 20,542.40

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Solution

The fourth proportional to 31,156.64, 42,980.16 and 20,542.40 is: 28,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156.64 : 42,980.16 = 20,542.40 : x
  2. Step 2: Convert to fraction form
    31,156.64/42,980.16 = 20,542.40/x
  3. Step 3: Cross multiply
    31,156.64x = 42,980.16 × 20,542.40
  4. Step 4: Simplify right side
    31,156.64x = 882,915,638.78
  5. Step 5: Solve for x
    x = 882,915,638.78/31,156.64
  6. Step 6: Final answer
    x = 28,337.96

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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.