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Finding the Fourth Proportional to 64,674.19, 89,232.87 and 37,823.32

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Solution

The fourth proportional to 64,674.19, 89,232.87 and 37,823.32 is: 52,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,674.19 : 89,232.87 = 37,823.32 : x
  2. Step 2: Convert to fraction form
    64,674.19/89,232.87 = 37,823.32/x
  3. Step 3: Cross multiply
    64,674.19x = 89,232.87 × 37,823.32
  4. Step 4: Simplify right side
    64,674.19x = 3,375,083,396.53
  5. Step 5: Solve for x
    x = 3,375,083,396.53/64,674.19
  6. Step 6: Final answer
    x = 52,185.94

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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.