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Finding the Fourth Proportional to 56,356.88, 77,772.49 and 31,206.38

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Solution

The fourth proportional to 56,356.88, 77,772.49 and 31,206.38 is: 43,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,356.88 : 77,772.49 = 31,206.38 : x
  2. Step 2: Convert to fraction form
    56,356.88/77,772.49 = 31,206.38/x
  3. Step 3: Cross multiply
    56,356.88x = 77,772.49 × 31,206.38
  4. Step 4: Simplify right side
    56,356.88x = 2,426,997,876.49
  5. Step 5: Solve for x
    x = 2,426,997,876.49/56,356.88
  6. Step 6: Final answer
    x = 43,064.80

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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.