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Finding the Fourth Proportional to 53,065.84, 79,616.04 and 25,366

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Solution

The fourth proportional to 53,065.84, 79,616.04 and 25,366 is: 38,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,065.84 : 79,616.04 = 25,366 : x
  2. Step 2: Convert to fraction form
    53,065.84/79,616.04 = 25,366/x
  3. Step 3: Cross multiply
    53,065.84x = 79,616.04 × 25,366
  4. Step 4: Simplify right side
    53,065.84x = 2,019,540,470.64
  5. Step 5: Solve for x
    x = 2,019,540,470.64/53,065.84
  6. Step 6: Final answer
    x = 38,057.26

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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.