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Finding the Fourth Proportional to 55,525.82, 83,288.76 and 13,972.82

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Solution

The fourth proportional to 55,525.82, 83,288.76 and 13,972.82 is: 20,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,525.82 : 83,288.76 = 13,972.82 : x
  2. Step 2: Convert to fraction form
    55,525.82/83,288.76 = 13,972.82/x
  3. Step 3: Cross multiply
    55,525.82x = 83,288.76 × 13,972.82
  4. Step 4: Simplify right side
    55,525.82x = 1,163,778,851.50
  5. Step 5: Solve for x
    x = 1,163,778,851.50/55,525.82
  6. Step 6: Final answer
    x = 20,959.24

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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.