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Finding the Fourth Proportional to 56,952.75, 78,594.95 and 31,458.66

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Solution

The fourth proportional to 56,952.75, 78,594.95 and 31,458.66 is: 43,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,952.75 : 78,594.95 = 31,458.66 : x
  2. Step 2: Convert to fraction form
    56,952.75/78,594.95 = 31,458.66/x
  3. Step 3: Cross multiply
    56,952.75x = 78,594.95 × 31,458.66
  4. Step 4: Simplify right side
    56,952.75x = 2,472,491,809.77
  5. Step 5: Solve for x
    x = 2,472,491,809.77/56,952.75
  6. Step 6: Final answer
    x = 43,413.04

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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.