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Finding the Fourth Proportional to 43,204, 59,641.50 and 30,467.56

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Solution

The fourth proportional to 43,204, 59,641.50 and 30,467.56 is: 42,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,204 : 59,641.50 = 30,467.56 : x
  2. Step 2: Convert to fraction form
    43,204/59,641.50 = 30,467.56/x
  3. Step 3: Cross multiply
    43,204x = 59,641.50 × 30,467.56
  4. Step 4: Simplify right side
    43,204x = 1,817,130,979.74
  5. Step 5: Solve for x
    x = 1,817,130,979.74/43,204
  6. Step 6: Final answer
    x = 42,059.32

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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.