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Finding the Fourth Proportional to 47,384.43, 65,384.91 and 28,265.25

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Solution

The fourth proportional to 47,384.43, 65,384.91 and 28,265.25 is: 39,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,384.43 : 65,384.91 = 28,265.25 : x
  2. Step 2: Convert to fraction form
    47,384.43/65,384.91 = 28,265.25/x
  3. Step 3: Cross multiply
    47,384.43x = 65,384.91 × 28,265.25
  4. Step 4: Simplify right side
    47,384.43x = 1,848,120,827.38
  5. Step 5: Solve for x
    x = 1,848,120,827.38/47,384.43
  6. Step 6: Final answer
    x = 39,002.70

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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.