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Finding the Fourth Proportional to 47,294.63, 65,267.03 and 26,074.65

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Solution

The fourth proportional to 47,294.63, 65,267.03 and 26,074.65 is: 35,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,294.63 : 65,267.03 = 26,074.65 : x
  2. Step 2: Convert to fraction form
    47,294.63/65,267.03 = 26,074.65/x
  3. Step 3: Cross multiply
    47,294.63x = 65,267.03 × 26,074.65
  4. Step 4: Simplify right side
    47,294.63x = 1,701,814,833.42
  5. Step 5: Solve for x
    x = 1,701,814,833.42/47,294.63
  6. Step 6: Final answer
    x = 35,983.26

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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.