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Finding the Fourth Proportional to 65,715.70, 98,573.55 and 37,981.30

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Solution

The fourth proportional to 65,715.70, 98,573.55 and 37,981.30 is: 56,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,715.70 : 98,573.55 = 37,981.30 : x
  2. Step 2: Convert to fraction form
    65,715.70/98,573.55 = 37,981.30/x
  3. Step 3: Cross multiply
    65,715.70x = 98,573.55 × 37,981.30
  4. Step 4: Simplify right side
    65,715.70x = 3,743,951,574.62
  5. Step 5: Solve for x
    x = 3,743,951,574.62/65,715.70
  6. Step 6: Final answer
    x = 56,971.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.