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Finding the Fourth Proportional to 43,232, 59,660.16 and 23,360

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Solution

The fourth proportional to 43,232, 59,660.16 and 23,360 is: 32,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,232 : 59,660.16 = 23,360 : x
  2. Step 2: Convert to fraction form
    43,232/59,660.16 = 23,360/x
  3. Step 3: Cross multiply
    43,232x = 59,660.16 × 23,360
  4. Step 4: Simplify right side
    43,232x = 1,393,661,337.60
  5. Step 5: Solve for x
    x = 1,393,661,337.60/43,232
  6. Step 6: Final answer
    x = 32,236.80

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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.