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Finding the Fourth Proportional to 37,374.35, 56,049.34 and 12,407.70

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Solution

The fourth proportional to 37,374.35, 56,049.34 and 12,407.70 is: 18,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,374.35 : 56,049.34 = 12,407.70 : x
  2. Step 2: Convert to fraction form
    37,374.35/56,049.34 = 12,407.70/x
  3. Step 3: Cross multiply
    37,374.35x = 56,049.34 × 12,407.70
  4. Step 4: Simplify right side
    37,374.35x = 695,443,395.92
  5. Step 5: Solve for x
    x = 695,443,395.92/37,374.35
  6. Step 6: Final answer
    x = 18,607.50

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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.