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Finding the Fourth Proportional to 41,813.68, 57,729.90 and 25,915

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Solution

The fourth proportional to 41,813.68, 57,729.90 and 25,915 is: 35,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,813.68 : 57,729.90 = 25,915 : x
  2. Step 2: Convert to fraction form
    41,813.68/57,729.90 = 25,915/x
  3. Step 3: Cross multiply
    41,813.68x = 57,729.90 × 25,915
  4. Step 4: Simplify right side
    41,813.68x = 1,496,070,358.50
  5. Step 5: Solve for x
    x = 1,496,070,358.50/41,813.68
  6. Step 6: Final answer
    x = 35,779.45

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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.