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Finding the Fourth Proportional to 99,624.32, 149,459.04 and 29,504

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Solution

The fourth proportional to 99,624.32, 149,459.04 and 29,504 is: 44,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,624.32 : 149,459.04 = 29,504 : x
  2. Step 2: Convert to fraction form
    99,624.32/149,459.04 = 29,504/x
  3. Step 3: Cross multiply
    99,624.32x = 149,459.04 × 29,504
  4. Step 4: Simplify right side
    99,624.32x = 4,409,639,516.16
  5. Step 5: Solve for x
    x = 4,409,639,516.16/99,624.32
  6. Step 6: Final answer
    x = 44,262.68

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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.