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Finding the Fourth Proportional to 98,084.50, 147,127.12 and 24,212.50

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Solution

The fourth proportional to 98,084.50, 147,127.12 and 24,212.50 is: 36,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,084.50 : 147,127.12 = 24,212.50 : x
  2. Step 2: Convert to fraction form
    98,084.50/147,127.12 = 24,212.50/x
  3. Step 3: Cross multiply
    98,084.50x = 147,127.12 × 24,212.50
  4. Step 4: Simplify right side
    98,084.50x = 3,562,315,393
  5. Step 5: Solve for x
    x = 3,562,315,393/98,084.50
  6. Step 6: Final answer
    x = 36,318.84

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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.