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Finding the Fourth Proportional to 100,596.62, 150,918.27 and 29,516.40

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Solution

The fourth proportional to 100,596.62, 150,918.27 and 29,516.40 is: 44,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,596.62 : 150,918.27 = 29,516.40 : x
  2. Step 2: Convert to fraction form
    100,596.62/150,918.27 = 29,516.40/x
  3. Step 3: Cross multiply
    100,596.62x = 150,918.27 × 29,516.40
  4. Step 4: Simplify right side
    100,596.62x = 4,454,564,024.63
  5. Step 5: Solve for x
    x = 4,454,564,024.63/100,596.62
  6. Step 6: Final answer
    x = 44,281.45

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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.