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Finding the Fourth Proportional to 29,803.12, 44,706.57 and 8,742.76

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Solution

The fourth proportional to 29,803.12, 44,706.57 and 8,742.76 is: 13,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,803.12 : 44,706.57 = 8,742.76 : x
  2. Step 2: Convert to fraction form
    29,803.12/44,706.57 = 8,742.76/x
  3. Step 3: Cross multiply
    29,803.12x = 44,706.57 × 8,742.76
  4. Step 4: Simplify right side
    29,803.12x = 390,858,811.93
  5. Step 5: Solve for x
    x = 390,858,811.93/29,803.12
  6. Step 6: Final answer
    x = 13,114.69

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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.