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Finding the Fourth Proportional to 42,070.88, 58,059.02 and 23,209.22

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Solution

The fourth proportional to 42,070.88, 58,059.02 and 23,209.22 is: 32,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,070.88 : 58,059.02 = 23,209.22 : x
  2. Step 2: Convert to fraction form
    42,070.88/58,059.02 = 23,209.22/x
  3. Step 3: Cross multiply
    42,070.88x = 58,059.02 × 23,209.22
  4. Step 4: Simplify right side
    42,070.88x = 1,347,504,568.16
  5. Step 5: Solve for x
    x = 1,347,504,568.16/42,070.88
  6. Step 6: Final answer
    x = 32,029.39

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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.