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Finding the Fourth Proportional to 98,797.29, 148,223.69 and 39,674.48

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Solution

The fourth proportional to 98,797.29, 148,223.69 and 39,674.48 is: 59,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,797.29 : 148,223.69 = 39,674.48 : x
  2. Step 2: Convert to fraction form
    98,797.29/148,223.69 = 39,674.48/x
  3. Step 3: Cross multiply
    98,797.29x = 148,223.69 × 39,674.48
  4. Step 4: Simplify right side
    98,797.29x = 5,880,697,626.06
  5. Step 5: Solve for x
    x = 5,880,697,626.06/98,797.29
  6. Step 6: Final answer
    x = 59,522.86

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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.