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Finding the Fourth Proportional to 38,492.38, 53,118.98 and 21,496.92

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Solution

The fourth proportional to 38,492.38, 53,118.98 and 21,496.92 is: 29,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492.38 : 53,118.98 = 21,496.92 : x
  2. Step 2: Convert to fraction form
    38,492.38/53,118.98 = 21,496.92/x
  3. Step 3: Cross multiply
    38,492.38x = 53,118.98 × 21,496.92
  4. Step 4: Simplify right side
    38,492.38x = 1,141,894,463.54
  5. Step 5: Solve for x
    x = 1,141,894,463.54/38,492.38
  6. Step 6: Final answer
    x = 29,665.47

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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.