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Finding the Fourth Proportional to 47,802.77, 65,969.43 and 26,293.43

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Solution

The fourth proportional to 47,802.77, 65,969.43 and 26,293.43 is: 36,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,802.77 : 65,969.43 = 26,293.43 : x
  2. Step 2: Convert to fraction form
    47,802.77/65,969.43 = 26,293.43/x
  3. Step 3: Cross multiply
    47,802.77x = 65,969.43 × 26,293.43
  4. Step 4: Simplify right side
    47,802.77x = 1,734,562,128.53
  5. Step 5: Solve for x
    x = 1,734,562,128.53/47,802.77
  6. Step 6: Final answer
    x = 36,285.81

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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.