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Finding the Fourth Proportional to 70,843.68, 97,706.16 and 51,701.94

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Solution

The fourth proportional to 70,843.68, 97,706.16 and 51,701.94 is: 71,306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,843.68 : 97,706.16 = 51,701.94 : x
  2. Step 2: Convert to fraction form
    70,843.68/97,706.16 = 51,701.94/x
  3. Step 3: Cross multiply
    70,843.68x = 97,706.16 × 51,701.94
  4. Step 4: Simplify right side
    70,843.68x = 5,051,598,021.95
  5. Step 5: Solve for x
    x = 5,051,598,021.95/70,843.68
  6. Step 6: Final answer
    x = 71,306.26

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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.