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Finding the Fourth Proportional to 48,166.65, 72,250.51 and 21,514

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Solution

The fourth proportional to 48,166.65, 72,250.51 and 21,514 is: 32,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,166.65 : 72,250.51 = 21,514 : x
  2. Step 2: Convert to fraction form
    48,166.65/72,250.51 = 21,514/x
  3. Step 3: Cross multiply
    48,166.65x = 72,250.51 × 21,514
  4. Step 4: Simplify right side
    48,166.65x = 1,554,397,472.14
  5. Step 5: Solve for x
    x = 1,554,397,472.14/48,166.65
  6. Step 6: Final answer
    x = 32,271.24

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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.