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Finding the Fourth Proportional to 98,104.50, 147,158.13 and 27,983.81

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Solution

The fourth proportional to 98,104.50, 147,158.13 and 27,983.81 is: 41,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,104.50 : 147,158.13 = 27,983.81 : x
  2. Step 2: Convert to fraction form
    98,104.50/147,158.13 = 27,983.81/x
  3. Step 3: Cross multiply
    98,104.50x = 147,158.13 × 27,983.81
  4. Step 4: Simplify right side
    98,104.50x = 4,118,045,622.71
  5. Step 5: Solve for x
    x = 4,118,045,622.71/98,104.50
  6. Step 6: Final answer
    x = 41,976.11

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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.