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Finding the Fourth Proportional to 43,217, 59,639.46 and 23,345

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Solution

The fourth proportional to 43,217, 59,639.46 and 23,345 is: 32,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,217 : 59,639.46 = 23,345 : x
  2. Step 2: Convert to fraction form
    43,217/59,639.46 = 23,345/x
  3. Step 3: Cross multiply
    43,217x = 59,639.46 × 23,345
  4. Step 4: Simplify right side
    43,217x = 1,392,283,193.70
  5. Step 5: Solve for x
    x = 1,392,283,193.70/43,217
  6. Step 6: Final answer
    x = 32,216.10

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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.