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Finding the Fourth Proportional to 65,497.51, 98,236.70 and 32,208.64

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Solution

The fourth proportional to 65,497.51, 98,236.70 and 32,208.64 is: 48,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,497.51 : 98,236.70 = 32,208.64 : x
  2. Step 2: Convert to fraction form
    65,497.51/98,236.70 = 32,208.64/x
  3. Step 3: Cross multiply
    65,497.51x = 98,236.70 × 32,208.64
  4. Step 4: Simplify right side
    65,497.51x = 3,164,070,219.24
  5. Step 5: Solve for x
    x = 3,164,070,219.24/65,497.51
  6. Step 6: Final answer
    x = 48,308.25

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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.