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Finding the Fourth Proportional to 37,138.50, 51,254.37 and 20,374.74

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Solution

The fourth proportional to 37,138.50, 51,254.37 and 20,374.74 is: 28,118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,138.50 : 51,254.37 = 20,374.74 : x
  2. Step 2: Convert to fraction form
    37,138.50/51,254.37 = 20,374.74/x
  3. Step 3: Cross multiply
    37,138.50x = 51,254.37 × 20,374.74
  4. Step 4: Simplify right side
    37,138.50x = 1,044,294,462.61
  5. Step 5: Solve for x
    x = 1,044,294,462.61/37,138.50
  6. Step 6: Final answer
    x = 28,118.92

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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.