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Finding the Fourth Proportional to 37,978.38, 52,405.65 and 22,870.80

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Solution

The fourth proportional to 37,978.38, 52,405.65 and 22,870.80 is: 31,558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.38 : 52,405.65 = 22,870.80 : x
  2. Step 2: Convert to fraction form
    37,978.38/52,405.65 = 22,870.80/x
  3. Step 3: Cross multiply
    37,978.38x = 52,405.65 × 22,870.80
  4. Step 4: Simplify right side
    37,978.38x = 1,198,559,140.02
  5. Step 5: Solve for x
    x = 1,198,559,140.02/37,978.38
  6. Step 6: Final answer
    x = 31,558.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.