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Finding the Fourth Proportional to 49,978.46, 68,875.26 and 35,806.70

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Solution

The fourth proportional to 49,978.46, 68,875.26 and 35,806.70 is: 49,345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,978.46 : 68,875.26 = 35,806.70 : x
  2. Step 2: Convert to fraction form
    49,978.46/68,875.26 = 35,806.70/x
  3. Step 3: Cross multiply
    49,978.46x = 68,875.26 × 35,806.70
  4. Step 4: Simplify right side
    49,978.46x = 2,466,195,772.24
  5. Step 5: Solve for x
    x = 2,466,195,772.24/49,978.46
  6. Step 6: Final answer
    x = 49,345.17

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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.