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Finding the Fourth Proportional to 54,514.16, 81,797.04 and 22,931.16

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Solution

The fourth proportional to 54,514.16, 81,797.04 and 22,931.16 is: 34,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,514.16 : 81,797.04 = 22,931.16 : x
  2. Step 2: Convert to fraction form
    54,514.16/81,797.04 = 22,931.16/x
  3. Step 3: Cross multiply
    54,514.16x = 81,797.04 × 22,931.16
  4. Step 4: Simplify right side
    54,514.16x = 1,875,701,011.77
  5. Step 5: Solve for x
    x = 1,875,701,011.77/54,514.16
  6. Step 6: Final answer
    x = 34,407.59

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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.