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Finding the Fourth Proportional to 47,681.32, 65,800.36 and 26,171.24

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Solution

The fourth proportional to 47,681.32, 65,800.36 and 26,171.24 is: 36,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,681.32 : 65,800.36 = 26,171.24 : x
  2. Step 2: Convert to fraction form
    47,681.32/65,800.36 = 26,171.24/x
  3. Step 3: Cross multiply
    47,681.32x = 65,800.36 × 26,171.24
  4. Step 4: Simplify right side
    47,681.32x = 1,722,077,013.65
  5. Step 5: Solve for x
    x = 1,722,077,013.65/47,681.32
  6. Step 6: Final answer
    x = 36,116.39

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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.