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Finding the Fourth Proportional to 47,802.46, 65,969.00 and 26,293.12

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Solution

The fourth proportional to 47,802.46, 65,969.00 and 26,293.12 is: 36,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,802.46 : 65,969.00 = 26,293.12 : x
  2. Step 2: Convert to fraction form
    47,802.46/65,969.00 = 26,293.12/x
  3. Step 3: Cross multiply
    47,802.46x = 65,969.00 × 26,293.12
  4. Step 4: Simplify right side
    47,802.46x = 1,734,530,371.97
  5. Step 5: Solve for x
    x = 1,734,530,371.97/47,802.46
  6. Step 6: Final answer
    x = 36,285.38

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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.