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Finding the Fourth Proportional to 54,446.64, 81,652.68 and 17,502

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Solution

The fourth proportional to 54,446.64, 81,652.68 and 17,502 is: 26,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,446.64 : 81,652.68 = 17,502 : x
  2. Step 2: Convert to fraction form
    54,446.64/81,652.68 = 17,502/x
  3. Step 3: Cross multiply
    54,446.64x = 81,652.68 × 17,502
  4. Step 4: Simplify right side
    54,446.64x = 1,429,085,205.36
  5. Step 5: Solve for x
    x = 1,429,085,205.36/54,446.64
  6. Step 6: Final answer
    x = 26,247.45

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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.