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Finding the Fourth Proportional to 47,359.62, 65,355.84 and 25,849.16

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Solution

The fourth proportional to 47,359.62, 65,355.84 and 25,849.16 is: 35,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,359.62 : 65,355.84 = 25,849.16 : x
  2. Step 2: Convert to fraction form
    47,359.62/65,355.84 = 25,849.16/x
  3. Step 3: Cross multiply
    47,359.62x = 65,355.84 × 25,849.16
  4. Step 4: Simplify right side
    47,359.62x = 1,689,393,238.32
  5. Step 5: Solve for x
    x = 1,689,393,238.32/47,359.62
  6. Step 6: Final answer
    x = 35,671.60

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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.