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Finding the Fourth Proportional to 29,431.24, 44,146.88 and 7,543.24

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Solution

The fourth proportional to 29,431.24, 44,146.88 and 7,543.24 is: 11,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,431.24 : 44,146.88 = 7,543.24 : x
  2. Step 2: Convert to fraction form
    29,431.24/44,146.88 = 7,543.24/x
  3. Step 3: Cross multiply
    29,431.24x = 44,146.88 × 7,543.24
  4. Step 4: Simplify right side
    29,431.24x = 333,010,511.09
  5. Step 5: Solve for x
    x = 333,010,511.09/29,431.24
  6. Step 6: Final answer
    x = 11,314.87

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1.5x scale

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.