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Finding the Fourth Proportional to 47,178.66, 65,107.42 and 25,957.46

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Solution

The fourth proportional to 47,178.66, 65,107.42 and 25,957.46 is: 35,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,178.66 : 65,107.42 = 25,957.46 : x
  2. Step 2: Convert to fraction form
    47,178.66/65,107.42 = 25,957.46/x
  3. Step 3: Cross multiply
    47,178.66x = 65,107.42 × 25,957.46
  4. Step 4: Simplify right side
    47,178.66x = 1,690,023,250.35
  5. Step 5: Solve for x
    x = 1,690,023,250.35/47,178.66
  6. Step 6: Final answer
    x = 35,821.77

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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.