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Finding the Fourth Proportional to 47,646.25, 65,752.34 and 26,426.88

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Solution

The fourth proportional to 47,646.25, 65,752.34 and 26,426.88 is: 36,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,646.25 : 65,752.34 = 26,426.88 : x
  2. Step 2: Convert to fraction form
    47,646.25/65,752.34 = 26,426.88/x
  3. Step 3: Cross multiply
    47,646.25x = 65,752.34 × 26,426.88
  4. Step 4: Simplify right side
    47,646.25x = 1,737,629,066.76
  5. Step 5: Solve for x
    x = 1,737,629,066.76/47,646.25
  6. Step 6: Final answer
    x = 36,469.38

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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.