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Finding the Fourth Proportional to 30,952.71, 42,715.62 and 16,806.48

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Solution

The fourth proportional to 30,952.71, 42,715.62 and 16,806.48 is: 23,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.71 : 42,715.62 = 16,806.48 : x
  2. Step 2: Convert to fraction form
    30,952.71/42,715.62 = 16,806.48/x
  3. Step 3: Cross multiply
    30,952.71x = 42,715.62 × 16,806.48
  4. Step 4: Simplify right side
    30,952.71x = 717,899,213.22
  5. Step 5: Solve for x
    x = 717,899,213.22/30,952.71
  6. Step 6: Final answer
    x = 23,193.42

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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.