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Finding the Fourth Proportional to 99,717.84, 149,576.76 and 29,596.50

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Solution

The fourth proportional to 99,717.84, 149,576.76 and 29,596.50 is: 44,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,717.84 : 149,576.76 = 29,596.50 : x
  2. Step 2: Convert to fraction form
    99,717.84/149,576.76 = 29,596.50/x
  3. Step 3: Cross multiply
    99,717.84x = 149,576.76 × 29,596.50
  4. Step 4: Simplify right side
    99,717.84x = 4,426,948,577.34
  5. Step 5: Solve for x
    x = 4,426,948,577.34/99,717.84
  6. Step 6: Final answer
    x = 44,394.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.