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Finding the Fourth Proportional to 29,767.30, 41,078.84 and 16,338.58

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Solution

The fourth proportional to 29,767.30, 41,078.84 and 16,338.58 is: 22,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,767.30 : 41,078.84 = 16,338.58 : x
  2. Step 2: Convert to fraction form
    29,767.30/41,078.84 = 16,338.58/x
  3. Step 3: Cross multiply
    29,767.30x = 41,078.84 × 16,338.58
  4. Step 4: Simplify right side
    29,767.30x = 671,169,729.26
  5. Step 5: Solve for x
    x = 671,169,729.26/29,767.30
  6. Step 6: Final answer
    x = 22,547.22

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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.