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Finding the Fourth Proportional to 56,980.92, 85,472.49 and 17,538

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Solution

The fourth proportional to 56,980.92, 85,472.49 and 17,538 is: 26,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,980.92 : 85,472.49 = 17,538 : x
  2. Step 2: Convert to fraction form
    56,980.92/85,472.49 = 17,538/x
  3. Step 3: Cross multiply
    56,980.92x = 85,472.49 × 17,538
  4. Step 4: Simplify right side
    56,980.92x = 1,499,016,496.74
  5. Step 5: Solve for x
    x = 1,499,016,496.74/56,980.92
  6. Step 6: Final answer
    x = 26,307.34

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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.