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Finding the Fourth Proportional to 47,310, 65,286.38 and 26,089.26

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Solution

The fourth proportional to 47,310, 65,286.38 and 26,089.26 is: 36,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,310 : 65,286.38 = 26,089.26 : x
  2. Step 2: Convert to fraction form
    47,310/65,286.38 = 26,089.26/x
  3. Step 3: Cross multiply
    47,310x = 65,286.38 × 26,089.26
  4. Step 4: Simplify right side
    47,310x = 1,703,273,342.28
  5. Step 5: Solve for x
    x = 1,703,273,342.28/47,310
  6. Step 6: Final answer
    x = 36,002.40

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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.