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Finding the Fourth Proportional to 47,662.88, 65,775.10 and 26,442.50

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Solution

The fourth proportional to 47,662.88, 65,775.10 and 26,442.50 is: 36,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662.88 : 65,775.10 = 26,442.50 : x
  2. Step 2: Convert to fraction form
    47,662.88/65,775.10 = 26,442.50/x
  3. Step 3: Cross multiply
    47,662.88x = 65,775.10 × 26,442.50
  4. Step 4: Simplify right side
    47,662.88x = 1,739,258,081.75
  5. Step 5: Solve for x
    x = 1,739,258,081.75/47,662.88
  6. Step 6: Final answer
    x = 36,490.83

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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.