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Finding the Fourth Proportional to 31,055.19, 42,816.76 and 20,976.76

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Solution

The fourth proportional to 31,055.19, 42,816.76 and 20,976.76 is: 28,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055.19 : 42,816.76 = 20,976.76 : x
  2. Step 2: Convert to fraction form
    31,055.19/42,816.76 = 20,976.76/x
  3. Step 3: Cross multiply
    31,055.19x = 42,816.76 × 20,976.76
  4. Step 4: Simplify right side
    31,055.19x = 898,156,898.50
  5. Step 5: Solve for x
    x = 898,156,898.50/31,055.19
  6. Step 6: Final answer
    x = 28,921.31

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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.