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Finding the Fourth Proportional to 47,382.47, 65,396.16 and 28,263.43

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Solution

The fourth proportional to 47,382.47, 65,396.16 and 28,263.43 is: 39,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,382.47 : 65,396.16 = 28,263.43 : x
  2. Step 2: Convert to fraction form
    47,382.47/65,396.16 = 28,263.43/x
  3. Step 3: Cross multiply
    47,382.47x = 65,396.16 × 28,263.43
  4. Step 4: Simplify right side
    47,382.47x = 1,848,319,872.17
  5. Step 5: Solve for x
    x = 1,848,319,872.17/47,382.47
  6. Step 6: Final answer
    x = 39,008.52

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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.