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Finding the Fourth Proportional to 70,654.20, 97,504.92 and 38,823

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Solution

The fourth proportional to 70,654.20, 97,504.92 and 38,823 is: 53,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,654.20 : 97,504.92 = 38,823 : x
  2. Step 2: Convert to fraction form
    70,654.20/97,504.92 = 38,823/x
  3. Step 3: Cross multiply
    70,654.20x = 97,504.92 × 38,823
  4. Step 4: Simplify right side
    70,654.20x = 3,785,433,509.16
  5. Step 5: Solve for x
    x = 3,785,433,509.16/70,654.20
  6. Step 6: Final answer
    x = 53,576.91

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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.