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Finding the Fourth Proportional to 77,322.76, 116,178.54 and 49,255.44

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Solution

The fourth proportional to 77,322.76, 116,178.54 and 49,255.44 is: 74,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,322.76 : 116,178.54 = 49,255.44 : x
  2. Step 2: Convert to fraction form
    77,322.76/116,178.54 = 49,255.44/x
  3. Step 3: Cross multiply
    77,322.76x = 116,178.54 × 49,255.44
  4. Step 4: Simplify right side
    77,322.76x = 5,722,425,106.26
  5. Step 5: Solve for x
    x = 5,722,425,106.26/77,322.76
  6. Step 6: Final answer
    x = 74,006.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.