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Finding the Fourth Proportional to 65,984.73, 91,063.76 and 37,689.81

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Solution

The fourth proportional to 65,984.73, 91,063.76 and 37,689.81 is: 52,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,984.73 : 91,063.76 = 37,689.81 : x
  2. Step 2: Convert to fraction form
    65,984.73/91,063.76 = 37,689.81/x
  3. Step 3: Cross multiply
    65,984.73x = 91,063.76 × 37,689.81
  4. Step 4: Simplify right side
    65,984.73x = 3,432,175,623.84
  5. Step 5: Solve for x
    x = 3,432,175,623.84/65,984.73
  6. Step 6: Final answer
    x = 52,014.70

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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.