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Finding the Fourth Proportional to 56,981.87, 85,473.90 and 17,538.94

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Solution

The fourth proportional to 56,981.87, 85,473.90 and 17,538.94 is: 26,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,981.87 : 85,473.90 = 17,538.94 : x
  2. Step 2: Convert to fraction form
    56,981.87/85,473.90 = 17,538.94/x
  3. Step 3: Cross multiply
    56,981.87x = 85,473.90 × 17,538.94
  4. Step 4: Simplify right side
    56,981.87x = 1,499,121,324.21
  5. Step 5: Solve for x
    x = 1,499,121,324.21/56,981.87
  6. Step 6: Final answer
    x = 26,308.74

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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.