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Finding the Fourth Proportional to 29,529.62, 44,300.14 and 9,544.50

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Solution

The fourth proportional to 29,529.62, 44,300.14 and 9,544.50 is: 14,318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,529.62 : 44,300.14 = 9,544.50 : x
  2. Step 2: Convert to fraction form
    29,529.62/44,300.14 = 9,544.50/x
  3. Step 3: Cross multiply
    29,529.62x = 44,300.14 × 9,544.50
  4. Step 4: Simplify right side
    29,529.62x = 422,822,686.23
  5. Step 5: Solve for x
    x = 422,822,686.23/29,529.62
  6. Step 6: Final answer
    x = 14,318.60

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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.