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Finding the Fourth Proportional to 56,584.66, 78,092.76 and 31,434.16

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Solution

The fourth proportional to 56,584.66, 78,092.76 and 31,434.16 is: 43,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,584.66 : 78,092.76 = 31,434.16 : x
  2. Step 2: Convert to fraction form
    56,584.66/78,092.76 = 31,434.16/x
  3. Step 3: Cross multiply
    56,584.66x = 78,092.76 × 31,434.16
  4. Step 4: Simplify right side
    56,584.66x = 2,454,780,312.68
  5. Step 5: Solve for x
    x = 2,454,780,312.68/56,584.66
  6. Step 6: Final answer
    x = 43,382.43

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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.