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Finding the Fourth Proportional to 98,190, 147,286.52 and 24,318

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Solution

The fourth proportional to 98,190, 147,286.52 and 24,318 is: 36,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,190 : 147,286.52 = 24,318 : x
  2. Step 2: Convert to fraction form
    98,190/147,286.52 = 24,318/x
  3. Step 3: Cross multiply
    98,190x = 147,286.52 × 24,318
  4. Step 4: Simplify right side
    98,190x = 3,581,713,593.36
  5. Step 5: Solve for x
    x = 3,581,713,593.36/98,190
  6. Step 6: Final answer
    x = 36,477.38

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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.