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Finding the Fourth Proportional to 75,806.20, 113,802.90 and 47,726.20

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Solution

The fourth proportional to 75,806.20, 113,802.90 and 47,726.20 is: 71,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,806.20 : 113,802.90 = 47,726.20 : x
  2. Step 2: Convert to fraction form
    75,806.20/113,802.90 = 47,726.20/x
  3. Step 3: Cross multiply
    75,806.20x = 113,802.90 × 47,726.20
  4. Step 4: Simplify right side
    75,806.20x = 5,431,379,965.98
  5. Step 5: Solve for x
    x = 5,431,379,965.98/75,806.20
  6. Step 6: Final answer
    x = 71,648.23

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1.5x scale

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.