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Finding the Fourth Proportional to 54,459.90, 81,583.47 and 35,682.89

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Solution

The fourth proportional to 54,459.90, 81,583.47 and 35,682.89 is: 53,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,459.90 : 81,583.47 = 35,682.89 : x
  2. Step 2: Convert to fraction form
    54,459.90/81,583.47 = 35,682.89/x
  3. Step 3: Cross multiply
    54,459.90x = 81,583.47 × 35,682.89
  4. Step 4: Simplify right side
    54,459.90x = 2,911,133,577.91
  5. Step 5: Solve for x
    x = 2,911,133,577.91/54,459.90
  6. Step 6: Final answer
    x = 53,454.63

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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.