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Finding the Fourth Proportional to 37,052.80, 55,586.40 and 10,758.40

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Solution

The fourth proportional to 37,052.80, 55,586.40 and 10,758.40 is: 16,139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,052.80 : 55,586.40 = 10,758.40 : x
  2. Step 2: Convert to fraction form
    37,052.80/55,586.40 = 10,758.40/x
  3. Step 3: Cross multiply
    37,052.80x = 55,586.40 × 10,758.40
  4. Step 4: Simplify right side
    37,052.80x = 598,020,725.76
  5. Step 5: Solve for x
    x = 598,020,725.76/37,052.80
  6. Step 6: Final answer
    x = 16,139.69

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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.