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Finding the Fourth Proportional to 31,032.50, 42,799.92 and 20,276.50

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Solution

The fourth proportional to 31,032.50, 42,799.92 and 20,276.50 is: 27,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,032.50 : 42,799.92 = 20,276.50 : x
  2. Step 2: Convert to fraction form
    31,032.50/42,799.92 = 20,276.50/x
  3. Step 3: Cross multiply
    31,032.50x = 42,799.92 × 20,276.50
  4. Step 4: Simplify right side
    31,032.50x = 867,832,577.88
  5. Step 5: Solve for x
    x = 867,832,577.88/31,032.50
  6. Step 6: Final answer
    x = 27,965.28

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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.