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Finding the Fourth Proportional to 65,357.61, 90,193.49 and 37,063.30

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Solution

The fourth proportional to 65,357.61, 90,193.49 and 37,063.30 is: 51,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,357.61 : 90,193.49 = 37,063.30 : x
  2. Step 2: Convert to fraction form
    65,357.61/90,193.49 = 37,063.30/x
  3. Step 3: Cross multiply
    65,357.61x = 90,193.49 × 37,063.30
  4. Step 4: Simplify right side
    65,357.61x = 3,342,868,245.09
  5. Step 5: Solve for x
    x = 3,342,868,245.09/65,357.61
  6. Step 6: Final answer
    x = 51,147.35

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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.