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Finding the Fourth Proportional to 55,815.76, 83,756.28 and 20,780.24

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Solution

The fourth proportional to 55,815.76, 83,756.28 and 20,780.24 is: 31,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,815.76 : 83,756.28 = 20,780.24 : x
  2. Step 2: Convert to fraction form
    55,815.76/83,756.28 = 20,780.24/x
  3. Step 3: Cross multiply
    55,815.76x = 83,756.28 × 20,780.24
  4. Step 4: Simplify right side
    55,815.76x = 1,740,475,599.91
  5. Step 5: Solve for x
    x = 1,740,475,599.91/55,815.76
  6. Step 6: Final answer
    x = 31,182.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.