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Finding the Fourth Proportional to 37,085.89, 55,298.02 and 32,964.61

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Solution

The fourth proportional to 37,085.89, 55,298.02 and 32,964.61 is: 49,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,085.89 : 55,298.02 = 32,964.61 : x
  2. Step 2: Convert to fraction form
    37,085.89/55,298.02 = 32,964.61/x
  3. Step 3: Cross multiply
    37,085.89x = 55,298.02 × 32,964.61
  4. Step 4: Simplify right side
    37,085.89x = 1,822,877,745.48
  5. Step 5: Solve for x
    x = 1,822,877,745.48/37,085.89
  6. Step 6: Final answer
    x = 49,152.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.