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Finding the Fourth Proportional to 56,678.88, 78,217.31 and 31,528.38

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Solution

The fourth proportional to 56,678.88, 78,217.31 and 31,528.38 is: 43,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,678.88 : 78,217.31 = 31,528.38 : x
  2. Step 2: Convert to fraction form
    56,678.88/78,217.31 = 31,528.38/x
  3. Step 3: Cross multiply
    56,678.88x = 78,217.31 × 31,528.38
  4. Step 4: Simplify right side
    56,678.88x = 2,466,065,072.26
  5. Step 5: Solve for x
    x = 2,466,065,072.26/56,678.88
  6. Step 6: Final answer
    x = 43,509.42

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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.