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Finding the Fourth Proportional to 70,642.38, 97,488.81 and 38,813.58

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Solution

The fourth proportional to 70,642.38, 97,488.81 and 38,813.58 is: 53,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,642.38 : 97,488.81 = 38,813.58 : x
  2. Step 2: Convert to fraction form
    70,642.38/97,488.81 = 38,813.58/x
  3. Step 3: Cross multiply
    70,642.38x = 97,488.81 × 38,813.58
  4. Step 4: Simplify right side
    70,642.38x = 3,783,889,726.04
  5. Step 5: Solve for x
    x = 3,783,889,726.04/70,642.38
  6. Step 6: Final answer
    x = 53,564.02

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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.