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Finding the Fourth Proportional to 37,142.20, 55,688.70 and 20,510.20

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Solution

The fourth proportional to 37,142.20, 55,688.70 and 20,510.20 is: 30,751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.20 : 55,688.70 = 20,510.20 : x
  2. Step 2: Convert to fraction form
    37,142.20/55,688.70 = 20,510.20/x
  3. Step 3: Cross multiply
    37,142.20x = 55,688.70 × 20,510.20
  4. Step 4: Simplify right side
    37,142.20x = 1,142,186,374.74
  5. Step 5: Solve for x
    x = 1,142,186,374.74/37,142.20
  6. Step 6: Final answer
    x = 30,751.72

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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.