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Finding the Fourth Proportional to 47,660.40, 65,775.38 and 26,446.50

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Solution

The fourth proportional to 47,660.40, 65,775.38 and 26,446.50 is: 36,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,660.40 : 65,775.38 = 26,446.50 : x
  2. Step 2: Convert to fraction form
    47,660.40/65,775.38 = 26,446.50/x
  3. Step 3: Cross multiply
    47,660.40x = 65,775.38 × 26,446.50
  4. Step 4: Simplify right side
    47,660.40x = 1,739,528,454.94
  5. Step 5: Solve for x
    x = 1,739,528,454.94/47,660.40
  6. Step 6: Final answer
    x = 36,498.40

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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.