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Finding the Fourth Proportional to 65,195.93, 89,972.74 and 37,970.05

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Solution

The fourth proportional to 65,195.93, 89,972.74 and 37,970.05 is: 52,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,195.93 : 89,972.74 = 37,970.05 : x
  2. Step 2: Convert to fraction form
    65,195.93/89,972.74 = 37,970.05/x
  3. Step 3: Cross multiply
    65,195.93x = 89,972.74 × 37,970.05
  4. Step 4: Simplify right side
    65,195.93x = 3,416,269,436.44
  5. Step 5: Solve for x
    x = 3,416,269,436.44/65,195.93
  6. Step 6: Final answer
    x = 52,400.04

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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.