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Finding the Fourth Proportional to 28,917.92, 43,307.40 and 24,734

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Solution

The fourth proportional to 28,917.92, 43,307.40 and 24,734 is: 37,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,917.92 : 43,307.40 = 24,734 : x
  2. Step 2: Convert to fraction form
    28,917.92/43,307.40 = 24,734/x
  3. Step 3: Cross multiply
    28,917.92x = 43,307.40 × 24,734
  4. Step 4: Simplify right side
    28,917.92x = 1,071,165,231.60
  5. Step 5: Solve for x
    x = 1,071,165,231.60/28,917.92
  6. Step 6: Final answer
    x = 37,041.57

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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.