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Finding the Fourth Proportional to 99,706.81, 149,560.28 and 29,585.50

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Solution

The fourth proportional to 99,706.81, 149,560.28 and 29,585.50 is: 44,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,706.81 : 149,560.28 = 29,585.50 : x
  2. Step 2: Convert to fraction form
    99,706.81/149,560.28 = 29,585.50/x
  3. Step 3: Cross multiply
    99,706.81x = 149,560.28 × 29,585.50
  4. Step 4: Simplify right side
    99,706.81x = 4,424,815,663.94
  5. Step 5: Solve for x
    x = 4,424,815,663.94/99,706.81
  6. Step 6: Final answer
    x = 44,378.27

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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.