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Finding the Fourth Proportional to 47,697.72, 65,823.11 and 29,803.10

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Solution

The fourth proportional to 47,697.72, 65,823.11 and 29,803.10 is: 41,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,697.72 : 65,823.11 = 29,803.10 : x
  2. Step 2: Convert to fraction form
    47,697.72/65,823.11 = 29,803.10/x
  3. Step 3: Cross multiply
    47,697.72x = 65,823.11 × 29,803.10
  4. Step 4: Simplify right side
    47,697.72x = 1,961,732,251.51
  5. Step 5: Solve for x
    x = 1,961,732,251.51/47,697.72
  6. Step 6: Final answer
    x = 41,128.43

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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.