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Finding the Fourth Proportional to 47,664.90, 65,750.04 and 29,728.74

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Solution

The fourth proportional to 47,664.90, 65,750.04 and 29,728.74 is: 41,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,664.90 : 65,750.04 = 29,728.74 : x
  2. Step 2: Convert to fraction form
    47,664.90/65,750.04 = 29,728.74/x
  3. Step 3: Cross multiply
    47,664.90x = 65,750.04 × 29,728.74
  4. Step 4: Simplify right side
    47,664.90x = 1,954,665,844.15
  5. Step 5: Solve for x
    x = 1,954,665,844.15/47,664.90
  6. Step 6: Final answer
    x = 41,008.50

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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.