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Finding the Fourth Proportional to 47,764.51, 65,915.64 and 27,622.24

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Solution

The fourth proportional to 47,764.51, 65,915.64 and 27,622.24 is: 38,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764.51 : 65,915.64 = 27,622.24 : x
  2. Step 2: Convert to fraction form
    47,764.51/65,915.64 = 27,622.24/x
  3. Step 3: Cross multiply
    47,764.51x = 65,915.64 × 27,622.24
  4. Step 4: Simplify right side
    47,764.51x = 1,820,737,463.04
  5. Step 5: Solve for x
    x = 1,820,737,463.04/47,764.51
  6. Step 6: Final answer
    x = 38,119.05

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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.