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Finding the Fourth Proportional to 56,851.92, 85,278.24 and 17,406

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Solution

The fourth proportional to 56,851.92, 85,278.24 and 17,406 is: 26,109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,851.92 : 85,278.24 = 17,406 : x
  2. Step 2: Convert to fraction form
    56,851.92/85,278.24 = 17,406/x
  3. Step 3: Cross multiply
    56,851.92x = 85,278.24 × 17,406
  4. Step 4: Simplify right side
    56,851.92x = 1,484,353,045.44
  5. Step 5: Solve for x
    x = 1,484,353,045.44/56,851.92
  6. Step 6: Final answer
    x = 26,109.11

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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.