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Finding the Fourth Proportional to 47,616, 65,710.08 and 27,747.84

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Solution

The fourth proportional to 47,616, 65,710.08 and 27,747.84 is: 38,292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,616 : 65,710.08 = 27,747.84 : x
  2. Step 2: Convert to fraction form
    47,616/65,710.08 = 27,747.84/x
  3. Step 3: Cross multiply
    47,616x = 65,710.08 × 27,747.84
  4. Step 4: Simplify right side
    47,616x = 1,823,312,786.23
  5. Step 5: Solve for x
    x = 1,823,312,786.23/47,616
  6. Step 6: Final answer
    x = 38,292.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.