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Finding the Fourth Proportional to 70,836.48, 97,755 and 39,006

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Solution

The fourth proportional to 70,836.48, 97,755 and 39,006 is: 53,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,836.48 : 97,755 = 39,006 : x
  2. Step 2: Convert to fraction form
    70,836.48/97,755 = 39,006/x
  3. Step 3: Cross multiply
    70,836.48x = 97,755 × 39,006
  4. Step 4: Simplify right side
    70,836.48x = 3,813,031,530
  5. Step 5: Solve for x
    x = 3,813,031,530/70,836.48
  6. Step 6: Final answer
    x = 53,828.64

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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.