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Finding the Fourth Proportional to 56,849.88, 85,269.15 and 17,407.20

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Solution

The fourth proportional to 56,849.88, 85,269.15 and 17,407.20 is: 26,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,849.88 : 85,269.15 = 17,407.20 : x
  2. Step 2: Convert to fraction form
    56,849.88/85,269.15 = 17,407.20/x
  3. Step 3: Cross multiply
    56,849.88x = 85,269.15 × 17,407.20
  4. Step 4: Simplify right side
    56,849.88x = 1,484,297,147.88
  5. Step 5: Solve for x
    x = 1,484,297,147.88/56,849.88
  6. Step 6: Final answer
    x = 26,109.06

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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.