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Finding the Fourth Proportional to 97,052.88, 133,935.02 and 54,611.42

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Solution

The fourth proportional to 97,052.88, 133,935.02 and 54,611.42 is: 75,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,052.88 : 133,935.02 = 54,611.42 : x
  2. Step 2: Convert to fraction form
    97,052.88/133,935.02 = 54,611.42/x
  3. Step 3: Cross multiply
    97,052.88x = 133,935.02 × 54,611.42
  4. Step 4: Simplify right side
    97,052.88x = 7,314,381,629.93
  5. Step 5: Solve for x
    x = 7,314,381,629.93/97,052.88
  6. Step 6: Final answer
    x = 75,364.91

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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.