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Finding the Fourth Proportional to 35,641.80, 53,405.10 and 22,470.60

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Solution

The fourth proportional to 35,641.80, 53,405.10 and 22,470.60 is: 33,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,641.80 : 53,405.10 = 22,470.60 : x
  2. Step 2: Convert to fraction form
    35,641.80/53,405.10 = 22,470.60/x
  3. Step 3: Cross multiply
    35,641.80x = 53,405.10 × 22,470.60
  4. Step 4: Simplify right side
    35,641.80x = 1,200,044,640.06
  5. Step 5: Solve for x
    x = 1,200,044,640.06/35,641.80
  6. Step 6: Final answer
    x = 33,669.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.