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Finding the Fourth Proportional to 70,164.48, 96,833.68 and 38,338.22

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Solution

The fourth proportional to 70,164.48, 96,833.68 and 38,338.22 is: 52,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,164.48 : 96,833.68 = 38,338.22 : x
  2. Step 2: Convert to fraction form
    70,164.48/96,833.68 = 38,338.22/x
  3. Step 3: Cross multiply
    70,164.48x = 96,833.68 × 38,338.22
  4. Step 4: Simplify right side
    70,164.48x = 3,712,430,927.25
  5. Step 5: Solve for x
    x = 3,712,430,927.25/70,164.48
  6. Step 6: Final answer
    x = 52,910.40

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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.