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Finding the Fourth Proportional to 77,570.70, 107,044.17 and 47,406.48

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Solution

The fourth proportional to 77,570.70, 107,044.17 and 47,406.48 is: 65,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,570.70 : 107,044.17 = 47,406.48 : x
  2. Step 2: Convert to fraction form
    77,570.70/107,044.17 = 47,406.48/x
  3. Step 3: Cross multiply
    77,570.70x = 107,044.17 × 47,406.48
  4. Step 4: Simplify right side
    77,570.70x = 5,074,587,304.22
  5. Step 5: Solve for x
    x = 5,074,587,304.22/77,570.70
  6. Step 6: Final answer
    x = 65,418.87

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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.