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Finding the Fourth Proportional to 70,072, 96,701.41 and 38,242.94

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Solution

The fourth proportional to 70,072, 96,701.41 and 38,242.94 is: 52,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,072 : 96,701.41 = 38,242.94 : x
  2. Step 2: Convert to fraction form
    70,072/96,701.41 = 38,242.94/x
  3. Step 3: Cross multiply
    70,072x = 96,701.41 × 38,242.94
  4. Step 4: Simplify right side
    70,072x = 3,698,146,220.55
  5. Step 5: Solve for x
    x = 3,698,146,220.55/70,072
  6. Step 6: Final answer
    x = 52,776.38

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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.