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Finding the Fourth Proportional to 70,552.14, 97,363.14 and 38,724

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Solution

The fourth proportional to 70,552.14, 97,363.14 and 38,724 is: 53,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,552.14 : 97,363.14 = 38,724 : x
  2. Step 2: Convert to fraction form
    70,552.14/97,363.14 = 38,724/x
  3. Step 3: Cross multiply
    70,552.14x = 97,363.14 × 38,724
  4. Step 4: Simplify right side
    70,552.14x = 3,770,290,233.36
  5. Step 5: Solve for x
    x = 3,770,290,233.36/70,552.14
  6. Step 6: Final answer
    x = 53,439.77

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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.