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Finding the Fourth Proportional to 56,794.75, 85,203.06 and 25,630

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Solution

The fourth proportional to 56,794.75, 85,203.06 and 25,630 is: 38,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,794.75 : 85,203.06 = 25,630 : x
  2. Step 2: Convert to fraction form
    56,794.75/85,203.06 = 25,630/x
  3. Step 3: Cross multiply
    56,794.75x = 85,203.06 × 25,630
  4. Step 4: Simplify right side
    56,794.75x = 2,183,754,427.80
  5. Step 5: Solve for x
    x = 2,183,754,427.80/56,794.75
  6. Step 6: Final answer
    x = 38,449.93

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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.