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Finding the Fourth Proportional to 70,170.95, 96,835.77 and 38,340.08

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Solution

The fourth proportional to 70,170.95, 96,835.77 and 38,340.08 is: 52,909.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,170.95 : 96,835.77 = 38,340.08 : x
  2. Step 2: Convert to fraction form
    70,170.95/96,835.77 = 38,340.08/x
  3. Step 3: Cross multiply
    70,170.95x = 96,835.77 × 38,340.08
  4. Step 4: Simplify right side
    70,170.95x = 3,712,691,047.62
  5. Step 5: Solve for x
    x = 3,712,691,047.62/70,170.95
  6. Step 6: Final answer
    x = 52,909.23

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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.