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Finding the Fourth Proportional to 43,210, 59,629.80 and 23,338

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Solution

The fourth proportional to 43,210, 59,629.80 and 23,338 is: 32,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,210 : 59,629.80 = 23,338 : x
  2. Step 2: Convert to fraction form
    43,210/59,629.80 = 23,338/x
  3. Step 3: Cross multiply
    43,210x = 59,629.80 × 23,338
  4. Step 4: Simplify right side
    43,210x = 1,391,640,272.40
  5. Step 5: Solve for x
    x = 1,391,640,272.40/43,210
  6. Step 6: Final answer
    x = 32,206.44

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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.