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Finding the Fourth Proportional to 47,841.92, 65,982.48 and 42,468.32

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Solution

The fourth proportional to 47,841.92, 65,982.48 and 42,468.32 is: 58,571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,841.92 : 65,982.48 = 42,468.32 : x
  2. Step 2: Convert to fraction form
    47,841.92/65,982.48 = 42,468.32/x
  3. Step 3: Cross multiply
    47,841.92x = 65,982.48 × 42,468.32
  4. Step 4: Simplify right side
    47,841.92x = 2,802,165,075.03
  5. Step 5: Solve for x
    x = 2,802,165,075.03/47,841.92
  6. Step 6: Final answer
    x = 58,571.33

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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.