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Finding the Fourth Proportional to 57,514.32, 86,154.84 and 29,754

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Solution

The fourth proportional to 57,514.32, 86,154.84 and 29,754 is: 44,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,514.32 : 86,154.84 = 29,754 : x
  2. Step 2: Convert to fraction form
    57,514.32/86,154.84 = 29,754/x
  3. Step 3: Cross multiply
    57,514.32x = 86,154.84 × 29,754
  4. Step 4: Simplify right side
    57,514.32x = 2,563,451,109.36
  5. Step 5: Solve for x
    x = 2,563,451,109.36/57,514.32
  6. Step 6: Final answer
    x = 44,570.66

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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.