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Finding the Fourth Proportional to 56,614.88, 78,133.44 and 31,466

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Solution

The fourth proportional to 56,614.88, 78,133.44 and 31,466 is: 43,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,614.88 : 78,133.44 = 31,466 : x
  2. Step 2: Convert to fraction form
    56,614.88/78,133.44 = 31,466/x
  3. Step 3: Cross multiply
    56,614.88x = 78,133.44 × 31,466
  4. Step 4: Simplify right side
    56,614.88x = 2,458,546,823.04
  5. Step 5: Solve for x
    x = 2,458,546,823.04/56,614.88
  6. Step 6: Final answer
    x = 43,425.81

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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.