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Finding the Fourth Proportional to 43,097.96, 59,475.54 and 24,234.92

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Solution

The fourth proportional to 43,097.96, 59,475.54 and 24,234.92 is: 33,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,097.96 : 59,475.54 = 24,234.92 : x
  2. Step 2: Convert to fraction form
    43,097.96/59,475.54 = 24,234.92/x
  3. Step 3: Cross multiply
    43,097.96x = 59,475.54 × 24,234.92
  4. Step 4: Simplify right side
    43,097.96x = 1,441,384,953.86
  5. Step 5: Solve for x
    x = 1,441,384,953.86/43,097.96
  6. Step 6: Final answer
    x = 33,444.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.