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Finding the Fourth Proportional to 47,523.84, 65,587.20 and 27,648

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Solution

The fourth proportional to 47,523.84, 65,587.20 and 27,648 is: 38,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,523.84 : 65,587.20 = 27,648 : x
  2. Step 2: Convert to fraction form
    47,523.84/65,587.20 = 27,648/x
  3. Step 3: Cross multiply
    47,523.84x = 65,587.20 × 27,648
  4. Step 4: Simplify right side
    47,523.84x = 1,813,354,905.60
  5. Step 5: Solve for x
    x = 1,813,354,905.60/47,523.84
  6. Step 6: Final answer
    x = 38,156.74

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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.