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Finding the Fourth Proportional to 56,807.26, 78,395.62 and 31,658.38

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Solution

The fourth proportional to 56,807.26, 78,395.62 and 31,658.38 is: 43,689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,807.26 : 78,395.62 = 31,658.38 : x
  2. Step 2: Convert to fraction form
    56,807.26/78,395.62 = 31,658.38/x
  3. Step 3: Cross multiply
    56,807.26x = 78,395.62 × 31,658.38
  4. Step 4: Simplify right side
    56,807.26x = 2,481,878,328.30
  5. Step 5: Solve for x
    x = 2,481,878,328.30/56,807.26
  6. Step 6: Final answer
    x = 43,689.46

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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.