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Finding the Fourth Proportional to 52,391.32, 78,586.22 and 12,948.44

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Solution

The fourth proportional to 52,391.32, 78,586.22 and 12,948.44 is: 19,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,391.32 : 78,586.22 = 12,948.44 : x
  2. Step 2: Convert to fraction form
    52,391.32/78,586.22 = 12,948.44/x
  3. Step 3: Cross multiply
    52,391.32x = 78,586.22 × 12,948.44
  4. Step 4: Simplify right side
    52,391.32x = 1,017,568,521.10
  5. Step 5: Solve for x
    x = 1,017,568,521.10/52,391.32
  6. Step 6: Final answer
    x = 19,422.46

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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.