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Finding the Fourth Proportional to 29,909.82, 41,275.32 and 16,480.77

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Solution

The fourth proportional to 29,909.82, 41,275.32 and 16,480.77 is: 22,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,909.82 : 41,275.32 = 16,480.77 : x
  2. Step 2: Convert to fraction form
    29,909.82/41,275.32 = 16,480.77/x
  3. Step 3: Cross multiply
    29,909.82x = 41,275.32 × 16,480.77
  4. Step 4: Simplify right side
    29,909.82x = 680,249,055.60
  5. Step 5: Solve for x
    x = 680,249,055.60/29,909.82
  6. Step 6: Final answer
    x = 22,743.33

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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.