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Finding the Fourth Proportional to 65,957.61, 98,969.22 and 52,644.25

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Solution

The fourth proportional to 65,957.61, 98,969.22 and 52,644.25 is: 78,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,957.61 : 98,969.22 = 52,644.25 : x
  2. Step 2: Convert to fraction form
    65,957.61/98,969.22 = 52,644.25/x
  3. Step 3: Cross multiply
    65,957.61x = 98,969.22 × 52,644.25
  4. Step 4: Simplify right side
    65,957.61x = 5,210,160,359.99
  5. Step 5: Solve for x
    x = 5,210,160,359.99/65,957.61
  6. Step 6: Final answer
    x = 78,992.56

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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.