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Finding the Fourth Proportional to 46,909.26, 70,302.87 and 35,775

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Solution

The fourth proportional to 46,909.26, 70,302.87 and 35,775 is: 53,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,909.26 : 70,302.87 = 35,775 : x
  2. Step 2: Convert to fraction form
    46,909.26/70,302.87 = 35,775/x
  3. Step 3: Cross multiply
    46,909.26x = 70,302.87 × 35,775
  4. Step 4: Simplify right side
    46,909.26x = 2,515,085,174.25
  5. Step 5: Solve for x
    x = 2,515,085,174.25/46,909.26
  6. Step 6: Final answer
    x = 53,615.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.