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Finding the Fourth Proportional to 69,641.64, 96,102.84 and 37,809.86

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Solution

The fourth proportional to 69,641.64, 96,102.84 and 37,809.86 is: 52,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,641.64 : 96,102.84 = 37,809.86 : x
  2. Step 2: Convert to fraction form
    69,641.64/96,102.84 = 37,809.86/x
  3. Step 3: Cross multiply
    69,641.64x = 96,102.84 × 37,809.86
  4. Step 4: Simplify right side
    69,641.64x = 3,633,634,445.49
  5. Step 5: Solve for x
    x = 3,633,634,445.49/69,641.64
  6. Step 6: Final answer
    x = 52,176.18

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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.