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Finding the Fourth Proportional to 47,368.62, 65,369.24 and 26,147.90

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Solution

The fourth proportional to 47,368.62, 65,369.24 and 26,147.90 is: 36,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,368.62 : 65,369.24 = 26,147.90 : x
  2. Step 2: Convert to fraction form
    47,368.62/65,369.24 = 26,147.90/x
  3. Step 3: Cross multiply
    47,368.62x = 65,369.24 × 26,147.90
  4. Step 4: Simplify right side
    47,368.62x = 1,709,267,893.01
  5. Step 5: Solve for x
    x = 1,709,267,893.01/47,368.62
  6. Step 6: Final answer
    x = 36,084.39

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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.