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Finding the Fourth Proportional to 47,169.84, 70,782.16 and 17,608.08

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Solution

The fourth proportional to 47,169.84, 70,782.16 and 17,608.08 is: 26,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,169.84 : 70,782.16 = 17,608.08 : x
  2. Step 2: Convert to fraction form
    47,169.84/70,782.16 = 17,608.08/x
  3. Step 3: Cross multiply
    47,169.84x = 70,782.16 × 17,608.08
  4. Step 4: Simplify right side
    47,169.84x = 1,246,337,935.85
  5. Step 5: Solve for x
    x = 1,246,337,935.85/47,169.84
  6. Step 6: Final answer
    x = 26,422.35

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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.