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Finding the Fourth Proportional to 65,497.32, 98,236.41 and 32,208.45

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Solution

The fourth proportional to 65,497.32, 98,236.41 and 32,208.45 is: 48,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,497.32 : 98,236.41 = 32,208.45 : x
  2. Step 2: Convert to fraction form
    65,497.32/98,236.41 = 32,208.45/x
  3. Step 3: Cross multiply
    65,497.32x = 98,236.41 × 32,208.45
  4. Step 4: Simplify right side
    65,497.32x = 3,164,042,499.66
  5. Step 5: Solve for x
    x = 3,164,042,499.66/65,497.32
  6. Step 6: Final answer
    x = 48,307.97

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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.