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Finding the Fourth Proportional to 47,406.86, 65,420.15 and 25,897.17

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Solution

The fourth proportional to 47,406.86, 65,420.15 and 25,897.17 is: 35,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,406.86 : 65,420.15 = 25,897.17 : x
  2. Step 2: Convert to fraction form
    47,406.86/65,420.15 = 25,897.17/x
  3. Step 3: Cross multiply
    47,406.86x = 65,420.15 × 25,897.17
  4. Step 4: Simplify right side
    47,406.86x = 1,694,196,745.98
  5. Step 5: Solve for x
    x = 1,694,196,745.98/47,406.86
  6. Step 6: Final answer
    x = 35,737.38

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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.