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Finding the Fourth Proportional to 78,222.71, 107,946.69 and 44,237.88

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Solution

The fourth proportional to 78,222.71, 107,946.69 and 44,237.88 is: 61,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,222.71 : 107,946.69 = 44,237.88 : x
  2. Step 2: Convert to fraction form
    78,222.71/107,946.69 = 44,237.88/x
  3. Step 3: Cross multiply
    78,222.71x = 107,946.69 × 44,237.88
  4. Step 4: Simplify right side
    78,222.71x = 4,775,332,718.62
  5. Step 5: Solve for x
    x = 4,775,332,718.62/78,222.71
  6. Step 6: Final answer
    x = 61,047.91

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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.