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Finding the Fourth Proportional to 43,185.96, 64,778.94 and 24,705

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Solution

The fourth proportional to 43,185.96, 64,778.94 and 24,705 is: 37,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,185.96 : 64,778.94 = 24,705 : x
  2. Step 2: Convert to fraction form
    43,185.96/64,778.94 = 24,705/x
  3. Step 3: Cross multiply
    43,185.96x = 64,778.94 × 24,705
  4. Step 4: Simplify right side
    43,185.96x = 1,600,363,712.70
  5. Step 5: Solve for x
    x = 1,600,363,712.70/43,185.96
  6. Step 6: Final answer
    x = 37,057.50

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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.