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Finding the Fourth Proportional to 38,211.84, 57,264.38 and 32,559.99

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Solution

The fourth proportional to 38,211.84, 57,264.38 and 32,559.99 is: 48,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,211.84 : 57,264.38 = 32,559.99 : x
  2. Step 2: Convert to fraction form
    38,211.84/57,264.38 = 32,559.99/x
  3. Step 3: Cross multiply
    38,211.84x = 57,264.38 × 32,559.99
  4. Step 4: Simplify right side
    38,211.84x = 1,864,527,477.36
  5. Step 5: Solve for x
    x = 1,864,527,477.36/38,211.84
  6. Step 6: Final answer
    x = 48,794.50

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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.