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Finding the Fourth Proportional to 30,902.34, 42,646.79 and 17,291.91

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Solution

The fourth proportional to 30,902.34, 42,646.79 and 17,291.91 is: 23,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.34 : 42,646.79 = 17,291.91 : x
  2. Step 2: Convert to fraction form
    30,902.34/42,646.79 = 17,291.91/x
  3. Step 3: Cross multiply
    30,902.34x = 42,646.79 × 17,291.91
  4. Step 4: Simplify right side
    30,902.34x = 737,444,454.47
  5. Step 5: Solve for x
    x = 737,444,454.47/30,902.34
  6. Step 6: Final answer
    x = 23,863.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.