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Finding the Fourth Proportional to 34,287.77, 51,431.66 and 14,552.49

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Solution

The fourth proportional to 34,287.77, 51,431.66 and 14,552.49 is: 21,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,287.77 : 51,431.66 = 14,552.49 : x
  2. Step 2: Convert to fraction form
    34,287.77/51,431.66 = 14,552.49/x
  3. Step 3: Cross multiply
    34,287.77x = 51,431.66 × 14,552.49
  4. Step 4: Simplify right side
    34,287.77x = 748,458,717.83
  5. Step 5: Solve for x
    x = 748,458,717.83/34,287.77
  6. Step 6: Final answer
    x = 21,828.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.