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Finding the Fourth Proportional to 70,654.96, 97,506.24 and 38,825

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Solution

The fourth proportional to 70,654.96, 97,506.24 and 38,825 is: 53,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,654.96 : 97,506.24 = 38,825 : x
  2. Step 2: Convert to fraction form
    70,654.96/97,506.24 = 38,825/x
  3. Step 3: Cross multiply
    70,654.96x = 97,506.24 × 38,825
  4. Step 4: Simplify right side
    70,654.96x = 3,785,679,768
  5. Step 5: Solve for x
    x = 3,785,679,768/70,654.96
  6. Step 6: Final answer
    x = 53,579.82

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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.