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Finding the Fourth Proportional to 37,041.60, 55,567.80 and 12,082.80

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Solution

The fourth proportional to 37,041.60, 55,567.80 and 12,082.80 is: 18,125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,041.60 : 55,567.80 = 12,082.80 : x
  2. Step 2: Convert to fraction form
    37,041.60/55,567.80 = 12,082.80/x
  3. Step 3: Cross multiply
    37,041.60x = 55,567.80 × 12,082.80
  4. Step 4: Simplify right side
    37,041.60x = 671,414,613.84
  5. Step 5: Solve for x
    x = 671,414,613.84/37,041.60
  6. Step 6: Final answer
    x = 18,125.96

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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.