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Finding the Fourth Proportional to 51,614.76, 77,412.42 and 20,024.76

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Solution

The fourth proportional to 51,614.76, 77,412.42 and 20,024.76 is: 30,033.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,614.76 : 77,412.42 = 20,024.76 : x
  2. Step 2: Convert to fraction form
    51,614.76/77,412.42 = 20,024.76/x
  3. Step 3: Cross multiply
    51,614.76x = 77,412.42 × 20,024.76
  4. Step 4: Simplify right side
    51,614.76x = 1,550,165,131.52
  5. Step 5: Solve for x
    x = 1,550,165,131.52/51,614.76
  6. Step 6: Final answer
    x = 30,033.37

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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.