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Finding the Fourth Proportional to 37,145.90, 51,261.78 and 20,378.90

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Solution

The fourth proportional to 37,145.90, 51,261.78 and 20,378.90 is: 28,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,145.90 : 51,261.78 = 20,378.90 : x
  2. Step 2: Convert to fraction form
    37,145.90/51,261.78 = 20,378.90/x
  3. Step 3: Cross multiply
    37,145.90x = 51,261.78 × 20,378.90
  4. Step 4: Simplify right side
    37,145.90x = 1,044,658,432.13
  5. Step 5: Solve for x
    x = 1,044,658,432.13/37,145.90
  6. Step 6: Final answer
    x = 28,123.12

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