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Finding the Fourth Proportional to 54,039, 81,052.14 and 14,599.20

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Solution

The fourth proportional to 54,039, 81,052.14 and 14,599.20 is: 21,897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,039 : 81,052.14 = 14,599.20 : x
  2. Step 2: Convert to fraction form
    54,039/81,052.14 = 14,599.20/x
  3. Step 3: Cross multiply
    54,039x = 81,052.14 × 14,599.20
  4. Step 4: Simplify right side
    54,039x = 1,183,296,402.29
  5. Step 5: Solve for x
    x = 1,183,296,402.29/54,039
  6. Step 6: Final answer
    x = 21,897.08

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Why These Related Problems?

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