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Finding the Fourth Proportional to 31,041.30, 42,812.96 and 20,953.76

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Solution

The fourth proportional to 31,041.30, 42,812.96 and 20,953.76 is: 28,899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,041.30 : 42,812.96 = 20,953.76 : x
  2. Step 2: Convert to fraction form
    31,041.30/42,812.96 = 20,953.76/x
  3. Step 3: Cross multiply
    31,041.30x = 42,812.96 × 20,953.76
  4. Step 4: Simplify right side
    31,041.30x = 897,092,488.73
  5. Step 5: Solve for x
    x = 897,092,488.73/31,041.30
  6. Step 6: Final answer
    x = 28,899.97

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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.