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Finding the Fourth Proportional to 52,492.31, 78,738.40 and 13,049.42

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Solution

The fourth proportional to 52,492.31, 78,738.40 and 13,049.42 is: 19,574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,492.31 : 78,738.40 = 13,049.42 : x
  2. Step 2: Convert to fraction form
    52,492.31/78,738.40 = 13,049.42/x
  3. Step 3: Cross multiply
    52,492.31x = 78,738.40 × 13,049.42
  4. Step 4: Simplify right side
    52,492.31x = 1,027,490,451.73
  5. Step 5: Solve for x
    x = 1,027,490,451.73/52,492.31
  6. Step 6: Final answer
    x = 19,574.11

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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.