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Finding the Fourth Proportional to 51,919.70, 71,647.47 and 32,809.68

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Solution

The fourth proportional to 51,919.70, 71,647.47 and 32,809.68 is: 45,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,919.70 : 71,647.47 = 32,809.68 : x
  2. Step 2: Convert to fraction form
    51,919.70/71,647.47 = 32,809.68/x
  3. Step 3: Cross multiply
    51,919.70x = 71,647.47 × 32,809.68
  4. Step 4: Simplify right side
    51,919.70x = 2,350,730,563.51
  5. Step 5: Solve for x
    x = 2,350,730,563.51/51,919.70
  6. Step 6: Final answer
    x = 45,276.28

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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.