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Finding the Fourth Proportional to 77,696.79, 107,182.76 and 49,051.95

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Solution

The fourth proportional to 77,696.79, 107,182.76 and 49,051.95 is: 67,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,696.79 : 107,182.76 = 49,051.95 : x
  2. Step 2: Convert to fraction form
    77,696.79/107,182.76 = 49,051.95/x
  3. Step 3: Cross multiply
    77,696.79x = 107,182.76 × 49,051.95
  4. Step 4: Simplify right side
    77,696.79x = 5,257,523,139.12
  5. Step 5: Solve for x
    x = 5,257,523,139.12/77,696.79
  6. Step 6: Final answer
    x = 67,667.19

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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.