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Finding the Fourth Proportional to 47,448, 65,484 and 27,576

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Solution

The fourth proportional to 47,448, 65,484 and 27,576 is: 38,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,448 : 65,484 = 27,576 : x
  2. Step 2: Convert to fraction form
    47,448/65,484 = 27,576/x
  3. Step 3: Cross multiply
    47,448x = 65,484 × 27,576
  4. Step 4: Simplify right side
    47,448x = 1,805,786,784
  5. Step 5: Solve for x
    x = 1,805,786,784/47,448
  6. Step 6: Final answer
    x = 38,058.23

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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.