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Finding the Fourth Proportional to 37,410.86, 56,123.13 and 12,448.53

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Solution

The fourth proportional to 37,410.86, 56,123.13 and 12,448.53 is: 18,675.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,410.86 : 56,123.13 = 12,448.53 : x
  2. Step 2: Convert to fraction form
    37,410.86/56,123.13 = 12,448.53/x
  3. Step 3: Cross multiply
    37,410.86x = 56,123.13 × 12,448.53
  4. Step 4: Simplify right side
    37,410.86x = 698,650,467.50
  5. Step 5: Solve for x
    x = 698,650,467.50/37,410.86
  6. Step 6: Final answer
    x = 18,675.07

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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.