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Finding the Fourth Proportional to 47,804.72, 65,972.10 and 26,295.36

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Solution

The fourth proportional to 47,804.72, 65,972.10 and 26,295.36 is: 36,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,804.72 : 65,972.10 = 26,295.36 : x
  2. Step 2: Convert to fraction form
    47,804.72/65,972.10 = 26,295.36/x
  3. Step 3: Cross multiply
    47,804.72x = 65,972.10 × 26,295.36
  4. Step 4: Simplify right side
    47,804.72x = 1,734,760,119.46
  5. Step 5: Solve for x
    x = 1,734,760,119.46/47,804.72
  6. Step 6: Final answer
    x = 36,288.47

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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.