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Finding the Fourth Proportional to 70,209.16, 96,888.82 and 41,914.20

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Solution

The fourth proportional to 70,209.16, 96,888.82 and 41,914.20 is: 57,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,209.16 : 96,888.82 = 41,914.20 : x
  2. Step 2: Convert to fraction form
    70,209.16/96,888.82 = 41,914.20/x
  3. Step 3: Cross multiply
    70,209.16x = 96,888.82 × 41,914.20
  4. Step 4: Simplify right side
    70,209.16x = 4,061,017,379.24
  5. Step 5: Solve for x
    x = 4,061,017,379.24/70,209.16
  6. Step 6: Final answer
    x = 57,841.70

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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.