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Finding the Fourth Proportional to 37,024.80, 55,537.20 and 12,400.80

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Solution

The fourth proportional to 37,024.80, 55,537.20 and 12,400.80 is: 18,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,024.80 : 55,537.20 = 12,400.80 : x
  2. Step 2: Convert to fraction form
    37,024.80/55,537.20 = 12,400.80/x
  3. Step 3: Cross multiply
    37,024.80x = 55,537.20 × 12,400.80
  4. Step 4: Simplify right side
    37,024.80x = 688,705,709.76
  5. Step 5: Solve for x
    x = 688,705,709.76/37,024.80
  6. Step 6: Final answer
    x = 18,601.20

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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.