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Finding the Fourth Proportional to 47,693.70, 65,816.19 and 26,472.51

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Solution

The fourth proportional to 47,693.70, 65,816.19 and 26,472.51 is: 36,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,693.70 : 65,816.19 = 26,472.51 : x
  2. Step 2: Convert to fraction form
    47,693.70/65,816.19 = 26,472.51/x
  3. Step 3: Cross multiply
    47,693.70x = 65,816.19 × 26,472.51
  4. Step 4: Simplify right side
    47,693.70x = 1,742,319,747.94
  5. Step 5: Solve for x
    x = 1,742,319,747.94/47,693.70
  6. Step 6: Final answer
    x = 36,531.44

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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.