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Finding the Fourth Proportional to 29,811.15, 44,716.64 and 7,624.49

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Solution

The fourth proportional to 29,811.15, 44,716.64 and 7,624.49 is: 11,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,811.15 : 44,716.64 = 7,624.49 : x
  2. Step 2: Convert to fraction form
    29,811.15/44,716.64 = 7,624.49/x
  3. Step 3: Cross multiply
    29,811.15x = 44,716.64 × 7,624.49
  4. Step 4: Simplify right side
    29,811.15x = 340,941,312.81
  5. Step 5: Solve for x
    x = 340,941,312.81/29,811.15
  6. Step 6: Final answer
    x = 11,436.70

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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.