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Finding the Fourth Proportional to 47,809.16, 65,978.24 and 26,299.81

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Solution

The fourth proportional to 47,809.16, 65,978.24 and 26,299.81 is: 36,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,809.16 : 65,978.24 = 26,299.81 : x
  2. Step 2: Convert to fraction form
    47,809.16/65,978.24 = 26,299.81/x
  3. Step 3: Cross multiply
    47,809.16x = 65,978.24 × 26,299.81
  4. Step 4: Simplify right side
    47,809.16x = 1,735,215,176.13
  5. Step 5: Solve for x
    x = 1,735,215,176.13/47,809.16
  6. Step 6: Final answer
    x = 36,294.62

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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.