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Finding the Fourth Proportional to 70,161.84, 96,823.68 and 38,331.26

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Solution

The fourth proportional to 70,161.84, 96,823.68 and 38,331.26 is: 52,897.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,161.84 : 96,823.68 = 38,331.26 : x
  2. Step 2: Convert to fraction form
    70,161.84/96,823.68 = 38,331.26/x
  3. Step 3: Cross multiply
    70,161.84x = 96,823.68 × 38,331.26
  4. Step 4: Simplify right side
    70,161.84x = 3,711,373,652.24
  5. Step 5: Solve for x
    x = 3,711,373,652.24/70,161.84
  6. Step 6: Final answer
    x = 52,897.32

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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.