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Finding the Fourth Proportional to 37,053.76, 55,586.40 and 12,424

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Solution

The fourth proportional to 37,053.76, 55,586.40 and 12,424 is: 18,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,053.76 : 55,586.40 = 12,424 : x
  2. Step 2: Convert to fraction form
    37,053.76/55,586.40 = 12,424/x
  3. Step 3: Cross multiply
    37,053.76x = 55,586.40 × 12,424
  4. Step 4: Simplify right side
    37,053.76x = 690,605,433.60
  5. Step 5: Solve for x
    x = 690,605,433.60/37,053.76
  6. Step 6: Final answer
    x = 18,637.93

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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.