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Finding the Fourth Proportional to 65,625.58, 98,394.63 and 31,882.60

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Solution

The fourth proportional to 65,625.58, 98,394.63 and 31,882.60 is: 47,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,625.58 : 98,394.63 = 31,882.60 : x
  2. Step 2: Convert to fraction form
    65,625.58/98,394.63 = 31,882.60/x
  3. Step 3: Cross multiply
    65,625.58x = 98,394.63 × 31,882.60
  4. Step 4: Simplify right side
    65,625.58x = 3,137,076,630.44
  5. Step 5: Solve for x
    x = 3,137,076,630.44/65,625.58
  6. Step 6: Final answer
    x = 47,802.65

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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.