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Finding the Fourth Proportional to 54,519.64, 81,762.18 and 17,575

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Solution

The fourth proportional to 54,519.64, 81,762.18 and 17,575 is: 26,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,519.64 : 81,762.18 = 17,575 : x
  2. Step 2: Convert to fraction form
    54,519.64/81,762.18 = 17,575/x
  3. Step 3: Cross multiply
    54,519.64x = 81,762.18 × 17,575
  4. Step 4: Simplify right side
    54,519.64x = 1,436,970,313.50
  5. Step 5: Solve for x
    x = 1,436,970,313.50/54,519.64
  6. Step 6: Final answer
    x = 26,356.93

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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.