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Finding the Fourth Proportional to 47,314.44, 65,294.34 and 26,094.44

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Solution

The fourth proportional to 47,314.44, 65,294.34 and 26,094.44 is: 36,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,314.44 : 65,294.34 = 26,094.44 : x
  2. Step 2: Convert to fraction form
    47,314.44/65,294.34 = 26,094.44/x
  3. Step 3: Cross multiply
    47,314.44x = 65,294.34 × 26,094.44
  4. Step 4: Simplify right side
    47,314.44x = 1,703,819,237.47
  5. Step 5: Solve for x
    x = 1,703,819,237.47/47,314.44
  6. Step 6: Final answer
    x = 36,010.55

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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.