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Finding the Fourth Proportional to 69,672.38, 96,146.30 and 37,840.60

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Solution

The fourth proportional to 69,672.38, 96,146.30 and 37,840.60 is: 52,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,672.38 : 96,146.30 = 37,840.60 : x
  2. Step 2: Convert to fraction form
    69,672.38/96,146.30 = 37,840.60/x
  3. Step 3: Cross multiply
    69,672.38x = 96,146.30 × 37,840.60
  4. Step 4: Simplify right side
    69,672.38x = 3,638,233,009.85
  5. Step 5: Solve for x
    x = 3,638,233,009.85/69,672.38
  6. Step 6: Final answer
    x = 52,219.16

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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.