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Finding the Fourth Proportional to 29,758.47, 41,066.53 and 16,838.31

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Solution

The fourth proportional to 29,758.47, 41,066.53 and 16,838.31 is: 23,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,758.47 : 41,066.53 = 16,838.31 : x
  2. Step 2: Convert to fraction form
    29,758.47/41,066.53 = 16,838.31/x
  3. Step 3: Cross multiply
    29,758.47x = 41,066.53 × 16,838.31
  4. Step 4: Simplify right side
    29,758.47x = 691,490,962.76
  5. Step 5: Solve for x
    x = 691,490,962.76/29,758.47
  6. Step 6: Final answer
    x = 23,236.78

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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.