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Finding the Fourth Proportional to 97,357.41, 134,357.31 and 54,915.93

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Solution

The fourth proportional to 97,357.41, 134,357.31 and 54,915.93 is: 75,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,357.41 : 134,357.31 = 54,915.93 : x
  2. Step 2: Convert to fraction form
    97,357.41/134,357.31 = 54,915.93/x
  3. Step 3: Cross multiply
    97,357.41x = 134,357.31 × 54,915.93
  4. Step 4: Simplify right side
    97,357.41x = 7,378,356,630.95
  5. Step 5: Solve for x
    x = 7,378,356,630.95/97,357.41
  6. Step 6: Final answer
    x = 75,786.29

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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.