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Finding the Fourth Proportional to 38,521.71, 53,158.05 and 21,522.60

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Solution

The fourth proportional to 38,521.71, 53,158.05 and 21,522.60 is: 29,700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,521.71 : 53,158.05 = 21,522.60 : x
  2. Step 2: Convert to fraction form
    38,521.71/53,158.05 = 21,522.60/x
  3. Step 3: Cross multiply
    38,521.71x = 53,158.05 × 21,522.60
  4. Step 4: Simplify right side
    38,521.71x = 1,144,099,446.93
  5. Step 5: Solve for x
    x = 1,144,099,446.93/38,521.71
  6. Step 6: Final answer
    x = 29,700.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.