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Finding the Fourth Proportional to 47,697.27, 65,808.89 and 29,810.44

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Solution

The fourth proportional to 47,697.27, 65,808.89 and 29,810.44 is: 41,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,697.27 : 65,808.89 = 29,810.44 : x
  2. Step 2: Convert to fraction form
    47,697.27/65,808.89 = 29,810.44/x
  3. Step 3: Cross multiply
    47,697.27x = 65,808.89 × 29,810.44
  4. Step 4: Simplify right side
    47,697.27x = 1,961,791,966.81
  5. Step 5: Solve for x
    x = 1,961,791,966.81/47,697.27
  6. Step 6: Final answer
    x = 41,130.07

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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.