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Finding the Fourth Proportional to 65,803.65, 98,756.23 and 48,974.68

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Solution

The fourth proportional to 65,803.65, 98,756.23 and 48,974.68 is: 73,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,803.65 : 98,756.23 = 48,974.68 : x
  2. Step 2: Convert to fraction form
    65,803.65/98,756.23 = 48,974.68/x
  3. Step 3: Cross multiply
    65,803.65x = 98,756.23 × 48,974.68
  4. Step 4: Simplify right side
    65,803.65x = 4,836,554,762.26
  5. Step 5: Solve for x
    x = 4,836,554,762.26/65,803.65
  6. Step 6: Final answer
    x = 73,499.79

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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.