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Finding the Fourth Proportional to 47,192.19, 65,121.24 and 27,807.99

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Solution

The fourth proportional to 47,192.19, 65,121.24 and 27,807.99 is: 38,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,192.19 : 65,121.24 = 27,807.99 : x
  2. Step 2: Convert to fraction form
    47,192.19/65,121.24 = 27,807.99/x
  3. Step 3: Cross multiply
    47,192.19x = 65,121.24 × 27,807.99
  4. Step 4: Simplify right side
    47,192.19x = 1,810,890,790.71
  5. Step 5: Solve for x
    x = 1,810,890,790.71/47,192.19
  6. Step 6: Final answer
    x = 38,372.68

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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.