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Finding the Fourth Proportional to 65,903.66, 98,751.97 and 50,947.46

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Solution

The fourth proportional to 65,903.66, 98,751.97 and 50,947.46 is: 76,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,903.66 : 98,751.97 = 50,947.46 : x
  2. Step 2: Convert to fraction form
    65,903.66/98,751.97 = 50,947.46/x
  3. Step 3: Cross multiply
    65,903.66x = 98,751.97 × 50,947.46
  4. Step 4: Simplify right side
    65,903.66x = 5,031,161,981.74
  5. Step 5: Solve for x
    x = 5,031,161,981.74/65,903.66
  6. Step 6: Final answer
    x = 76,341.16

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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.