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Finding the Fourth Proportional to 42,842.34, 59,203.77 and 32,213.52

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Solution

The fourth proportional to 42,842.34, 59,203.77 and 32,213.52 is: 44,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,842.34 : 59,203.77 = 32,213.52 : x
  2. Step 2: Convert to fraction form
    42,842.34/59,203.77 = 32,213.52/x
  3. Step 3: Cross multiply
    42,842.34x = 59,203.77 × 32,213.52
  4. Step 4: Simplify right side
    42,842.34x = 1,907,161,828.97
  5. Step 5: Solve for x
    x = 1,907,161,828.97/42,842.34
  6. Step 6: Final answer
    x = 44,515.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.