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Finding the Fourth Proportional to 98,693.91, 148,039.50 and 23,813.43

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Solution

The fourth proportional to 98,693.91, 148,039.50 and 23,813.43 is: 35,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,693.91 : 148,039.50 = 23,813.43 : x
  2. Step 2: Convert to fraction form
    98,693.91/148,039.50 = 23,813.43/x
  3. Step 3: Cross multiply
    98,693.91x = 148,039.50 × 23,813.43
  4. Step 4: Simplify right side
    98,693.91x = 3,525,328,270.49
  5. Step 5: Solve for x
    x = 3,525,328,270.49/98,693.91
  6. Step 6: Final answer
    x = 35,719.82

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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.