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Finding the Fourth Proportional to 30,071.34, 41,497.79 and 16,641.78

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Solution

The fourth proportional to 30,071.34, 41,497.79 and 16,641.78 is: 22,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,071.34 : 41,497.79 = 16,641.78 : x
  2. Step 2: Convert to fraction form
    30,071.34/41,497.79 = 16,641.78/x
  3. Step 3: Cross multiply
    30,071.34x = 41,497.79 × 16,641.78
  4. Step 4: Simplify right side
    30,071.34x = 690,597,008.46
  5. Step 5: Solve for x
    x = 690,597,008.46/30,071.34
  6. Step 6: Final answer
    x = 22,965.29

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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.