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Finding the Fourth Proportional to 37,248.75, 55,861.20 and 12,283.20

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Solution

The fourth proportional to 37,248.75, 55,861.20 and 12,283.20 is: 18,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,248.75 : 55,861.20 = 12,283.20 : x
  2. Step 2: Convert to fraction form
    37,248.75/55,861.20 = 12,283.20/x
  3. Step 3: Cross multiply
    37,248.75x = 55,861.20 × 12,283.20
  4. Step 4: Simplify right side
    37,248.75x = 686,154,291.84
  5. Step 5: Solve for x
    x = 686,154,291.84/37,248.75
  6. Step 6: Final answer
    x = 18,420.87

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Why These Related Problems?

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