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Finding the Fourth Proportional to 77,656, 107,165.32 and 44,128.48

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Solution

The fourth proportional to 77,656, 107,165.32 and 44,128.48 is: 60,897.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,656 : 107,165.32 = 44,128.48 : x
  2. Step 2: Convert to fraction form
    77,656/107,165.32 = 44,128.48/x
  3. Step 3: Cross multiply
    77,656x = 107,165.32 × 44,128.48
  4. Step 4: Simplify right side
    77,656x = 4,729,042,680.31
  5. Step 5: Solve for x
    x = 4,729,042,680.31/77,656
  6. Step 6: Final answer
    x = 60,897.33

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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.