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Finding the Fourth Proportional to 47,521.50, 65,579.67 and 27,649.50

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Solution

The fourth proportional to 47,521.50, 65,579.67 and 27,649.50 is: 38,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,521.50 : 65,579.67 = 27,649.50 : x
  2. Step 2: Convert to fraction form
    47,521.50/65,579.67 = 27,649.50/x
  3. Step 3: Cross multiply
    47,521.50x = 65,579.67 × 27,649.50
  4. Step 4: Simplify right side
    47,521.50x = 1,813,245,085.67
  5. Step 5: Solve for x
    x = 1,813,245,085.67/47,521.50
  6. Step 6: Final answer
    x = 38,156.31

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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.