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Finding the Fourth Proportional to 56,805.26, 78,392.86 and 31,656.38

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Solution

The fourth proportional to 56,805.26, 78,392.86 and 31,656.38 is: 43,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,805.26 : 78,392.86 = 31,656.38 : x
  2. Step 2: Convert to fraction form
    56,805.26/78,392.86 = 31,656.38/x
  3. Step 3: Cross multiply
    56,805.26x = 78,392.86 × 31,656.38
  4. Step 4: Simplify right side
    56,805.26x = 2,481,634,165.45
  5. Step 5: Solve for x
    x = 2,481,634,165.45/56,805.26
  6. Step 6: Final answer
    x = 43,686.70

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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.