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Finding the Fourth Proportional to 99,788.74, 149,575.98 and 49,770.02

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Solution

The fourth proportional to 99,788.74, 149,575.98 and 49,770.02 is: 74,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,788.74 : 149,575.98 = 49,770.02 : x
  2. Step 2: Convert to fraction form
    99,788.74/149,575.98 = 49,770.02/x
  3. Step 3: Cross multiply
    99,788.74x = 149,575.98 × 49,770.02
  4. Step 4: Simplify right side
    99,788.74x = 7,444,399,516.12
  5. Step 5: Solve for x
    x = 7,444,399,516.12/99,788.74
  6. Step 6: Final answer
    x = 74,601.60

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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.