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Finding the Fourth Proportional to 70,055.36, 96,677.44 and 38,226

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Solution

The fourth proportional to 70,055.36, 96,677.44 and 38,226 is: 52,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,055.36 : 96,677.44 = 38,226 : x
  2. Step 2: Convert to fraction form
    70,055.36/96,677.44 = 38,226/x
  3. Step 3: Cross multiply
    70,055.36x = 96,677.44 × 38,226
  4. Step 4: Simplify right side
    70,055.36x = 3,695,591,821.44
  5. Step 5: Solve for x
    x = 3,695,591,821.44/70,055.36
  6. Step 6: Final answer
    x = 52,752.45

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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.