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Finding the Fourth Proportional to 43,218, 59,640.84 and 23,346

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Solution

The fourth proportional to 43,218, 59,640.84 and 23,346 is: 32,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,218 : 59,640.84 = 23,346 : x
  2. Step 2: Convert to fraction form
    43,218/59,640.84 = 23,346/x
  3. Step 3: Cross multiply
    43,218x = 59,640.84 × 23,346
  4. Step 4: Simplify right side
    43,218x = 1,392,375,050.64
  5. Step 5: Solve for x
    x = 1,392,375,050.64/43,218
  6. Step 6: Final answer
    x = 32,217.48

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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.