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Finding the Fourth Proportional to 29,546.71, 40,774.59 and 16,117.92

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Solution

The fourth proportional to 29,546.71, 40,774.59 and 16,117.92 is: 22,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,546.71 : 40,774.59 = 16,117.92 : x
  2. Step 2: Convert to fraction form
    29,546.71/40,774.59 = 16,117.92/x
  3. Step 3: Cross multiply
    29,546.71x = 40,774.59 × 16,117.92
  4. Step 4: Simplify right side
    29,546.71x = 657,201,579.65
  5. Step 5: Solve for x
    x = 657,201,579.65/29,546.71
  6. Step 6: Final answer
    x = 22,242.80

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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.