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Finding the Fourth Proportional to 69,840.16, 96,379.14 and 38,009.05

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Solution

The fourth proportional to 69,840.16, 96,379.14 and 38,009.05 is: 52,452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,840.16 : 96,379.14 = 38,009.05 : x
  2. Step 2: Convert to fraction form
    69,840.16/96,379.14 = 38,009.05/x
  3. Step 3: Cross multiply
    69,840.16x = 96,379.14 × 38,009.05
  4. Step 4: Simplify right side
    69,840.16x = 3,663,279,551.22
  5. Step 5: Solve for x
    x = 3,663,279,551.22/69,840.16
  6. Step 6: Final answer
    x = 52,452.34

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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.