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Finding the Fourth Proportional to 54,496.59, 81,776.43 and 22,904.16

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Solution

The fourth proportional to 54,496.59, 81,776.43 and 22,904.16 is: 34,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,496.59 : 81,776.43 = 22,904.16 : x
  2. Step 2: Convert to fraction form
    54,496.59/81,776.43 = 22,904.16/x
  3. Step 3: Cross multiply
    54,496.59x = 81,776.43 × 22,904.16
  4. Step 4: Simplify right side
    54,496.59x = 1,873,020,436.95
  5. Step 5: Solve for x
    x = 1,873,020,436.95/54,496.59
  6. Step 6: Final answer
    x = 34,369.50

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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.