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Finding the Fourth Proportional to 37,303.68, 55,974.24 and 17,580

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Solution

The fourth proportional to 37,303.68, 55,974.24 and 17,580 is: 26,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,303.68 : 55,974.24 = 17,580 : x
  2. Step 2: Convert to fraction form
    37,303.68/55,974.24 = 17,580/x
  3. Step 3: Cross multiply
    37,303.68x = 55,974.24 × 17,580
  4. Step 4: Simplify right side
    37,303.68x = 984,027,139.20
  5. Step 5: Solve for x
    x = 984,027,139.20/37,303.68
  6. Step 6: Final answer
    x = 26,378.82

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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.