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Finding the Fourth Proportional to 47,470.93, 65,509.72 and 26,772.79

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Solution

The fourth proportional to 47,470.93, 65,509.72 and 26,772.79 is: 36,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,470.93 : 65,509.72 = 26,772.79 : x
  2. Step 2: Convert to fraction form
    47,470.93/65,509.72 = 26,772.79/x
  3. Step 3: Cross multiply
    47,470.93x = 65,509.72 × 26,772.79
  4. Step 4: Simplify right side
    47,470.93x = 1,753,877,976.52
  5. Step 5: Solve for x
    x = 1,753,877,976.52/47,470.93
  6. Step 6: Final answer
    x = 36,946.36

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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.