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Finding the Fourth Proportional to 65,805.42, 98,678.46 and 32,512.50

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Solution

The fourth proportional to 65,805.42, 98,678.46 and 32,512.50 is: 48,754.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,805.42 : 98,678.46 = 32,512.50 : x
  2. Step 2: Convert to fraction form
    65,805.42/98,678.46 = 32,512.50/x
  3. Step 3: Cross multiply
    65,805.42x = 98,678.46 × 32,512.50
  4. Step 4: Simplify right side
    65,805.42x = 3,208,283,430.75
  5. Step 5: Solve for x
    x = 3,208,283,430.75/65,805.42
  6. Step 6: Final answer
    x = 48,754.09

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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.