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Finding the Fourth Proportional to 47,662.59, 65,774.38 and 26,442.01

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Solution

The fourth proportional to 47,662.59, 65,774.38 and 26,442.01 is: 36,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662.59 : 65,774.38 = 26,442.01 : x
  2. Step 2: Convert to fraction form
    47,662.59/65,774.38 = 26,442.01/x
  3. Step 3: Cross multiply
    47,662.59x = 65,774.38 × 26,442.01
  4. Step 4: Simplify right side
    47,662.59x = 1,739,206,879.40
  5. Step 5: Solve for x
    x = 1,739,206,879.40/47,662.59
  6. Step 6: Final answer
    x = 36,489.98

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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.