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Finding the Fourth Proportional to 98,690.92, 148,035.01 and 23,810.44

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Solution

The fourth proportional to 98,690.92, 148,035.01 and 23,810.44 is: 35,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,690.92 : 148,035.01 = 23,810.44 : x
  2. Step 2: Convert to fraction form
    98,690.92/148,035.01 = 23,810.44/x
  3. Step 3: Cross multiply
    98,690.92x = 148,035.01 × 23,810.44
  4. Step 4: Simplify right side
    98,690.92x = 3,524,778,616.10
  5. Step 5: Solve for x
    x = 3,524,778,616.10/98,690.92
  6. Step 6: Final answer
    x = 35,715.33

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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.