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Finding the Fourth Proportional to 47,205, 65,142.09 and 27,061.38

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Solution

The fourth proportional to 47,205, 65,142.09 and 27,061.38 is: 37,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,205 : 65,142.09 = 27,061.38 : x
  2. Step 2: Convert to fraction form
    47,205/65,142.09 = 27,061.38/x
  3. Step 3: Cross multiply
    47,205x = 65,142.09 × 27,061.38
  4. Step 4: Simplify right side
    47,205x = 1,762,834,851.48
  5. Step 5: Solve for x
    x = 1,762,834,851.48/47,205
  6. Step 6: Final answer
    x = 37,344.24

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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.