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Finding the Fourth Proportional to 47,642.92, 65,748.47 and 26,133.60

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Solution

The fourth proportional to 47,642.92, 65,748.47 and 26,133.60 is: 36,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,642.92 : 65,748.47 = 26,133.60 : x
  2. Step 2: Convert to fraction form
    47,642.92/65,748.47 = 26,133.60/x
  3. Step 3: Cross multiply
    47,642.92x = 65,748.47 × 26,133.60
  4. Step 4: Simplify right side
    47,642.92x = 1,718,244,084.92
  5. Step 5: Solve for x
    x = 1,718,244,084.92/47,642.92
  6. Step 6: Final answer
    x = 36,065.05

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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.