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Finding the Fourth Proportional to 99,523.95, 149,152.92 and 36,284.67

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Solution

The fourth proportional to 99,523.95, 149,152.92 and 36,284.67 is: 54,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,523.95 : 149,152.92 = 36,284.67 : x
  2. Step 2: Convert to fraction form
    99,523.95/149,152.92 = 36,284.67/x
  3. Step 3: Cross multiply
    99,523.95x = 149,152.92 × 36,284.67
  4. Step 4: Simplify right side
    99,523.95x = 5,411,964,481.74
  5. Step 5: Solve for x
    x = 5,411,964,481.74/99,523.95
  6. Step 6: Final answer
    x = 54,378.51

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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.