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Finding the Fourth Proportional to 32,364, 48,545.92 and 18,503.28

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Solution

The fourth proportional to 32,364, 48,545.92 and 18,503.28 is: 27,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,364 : 48,545.92 = 18,503.28 : x
  2. Step 2: Convert to fraction form
    32,364/48,545.92 = 18,503.28/x
  3. Step 3: Cross multiply
    32,364x = 48,545.92 × 18,503.28
  4. Step 4: Simplify right side
    32,364x = 898,258,750.62
  5. Step 5: Solve for x
    x = 898,258,750.62/32,364
  6. Step 6: Final answer
    x = 27,754.87

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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.