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Finding the Fourth Proportional to 30,397.32, 41,948.34 and 16,969.77

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Solution

The fourth proportional to 30,397.32, 41,948.34 and 16,969.77 is: 23,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.32 : 41,948.34 = 16,969.77 : x
  2. Step 2: Convert to fraction form
    30,397.32/41,948.34 = 16,969.77/x
  3. Step 3: Cross multiply
    30,397.32x = 41,948.34 × 16,969.77
  4. Step 4: Simplify right side
    30,397.32x = 711,853,681.68
  5. Step 5: Solve for x
    x = 711,853,681.68/30,397.32
  6. Step 6: Final answer
    x = 23,418.30

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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.