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Finding the Fourth Proportional to 77,394.26, 106,823.13 and 47,196.25

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Solution

The fourth proportional to 77,394.26, 106,823.13 and 47,196.25 is: 65,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,394.26 : 106,823.13 = 47,196.25 : x
  2. Step 2: Convert to fraction form
    77,394.26/106,823.13 = 47,196.25/x
  3. Step 3: Cross multiply
    77,394.26x = 106,823.13 × 47,196.25
  4. Step 4: Simplify right side
    77,394.26x = 5,041,651,149.26
  5. Step 5: Solve for x
    x = 5,041,651,149.26/77,394.26
  6. Step 6: Final answer
    x = 65,142.44

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1.5x scale

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.