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Finding the Fourth Proportional to 56,851.38, 78,454.98 and 31,357.17

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Solution

The fourth proportional to 56,851.38, 78,454.98 and 31,357.17 is: 43,272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,851.38 : 78,454.98 = 31,357.17 : x
  2. Step 2: Convert to fraction form
    56,851.38/78,454.98 = 31,357.17/x
  3. Step 3: Cross multiply
    56,851.38x = 78,454.98 × 31,357.17
  4. Step 4: Simplify right side
    56,851.38x = 2,460,126,145.21
  5. Step 5: Solve for x
    x = 2,460,126,145.21/56,851.38
  6. Step 6: Final answer
    x = 43,272.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.