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Finding the Fourth Proportional to 78,222.61, 107,945.92 and 44,229.95

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Solution

The fourth proportional to 78,222.61, 107,945.92 and 44,229.95 is: 61,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,222.61 : 107,945.92 = 44,229.95 : x
  2. Step 2: Convert to fraction form
    78,222.61/107,945.92 = 44,229.95/x
  3. Step 3: Cross multiply
    78,222.61x = 107,945.92 × 44,229.95
  4. Step 4: Simplify right side
    78,222.61x = 4,774,442,315.87
  5. Step 5: Solve for x
    x = 4,774,442,315.87/78,222.61
  6. Step 6: Final answer
    x = 61,036.60

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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.