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Finding the Fourth Proportional to 97,694.31, 134,818.15 and 55,251.93

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Solution

The fourth proportional to 97,694.31, 134,818.15 and 55,251.93 is: 76,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,694.31 : 134,818.15 = 55,251.93 : x
  2. Step 2: Convert to fraction form
    97,694.31/134,818.15 = 55,251.93/x
  3. Step 3: Cross multiply
    97,694.31x = 134,818.15 × 55,251.93
  4. Step 4: Simplify right side
    97,694.31x = 7,448,962,986.53
  5. Step 5: Solve for x
    x = 7,448,962,986.53/97,694.31
  6. Step 6: Final answer
    x = 76,247.66

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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.