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Finding the Fourth Proportional to 65,883.42, 98,701.13 and 32,564.48

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Solution

The fourth proportional to 65,883.42, 98,701.13 and 32,564.48 is: 48,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,883.42 : 98,701.13 = 32,564.48 : x
  2. Step 2: Convert to fraction form
    65,883.42/98,701.13 = 32,564.48/x
  3. Step 3: Cross multiply
    65,883.42x = 98,701.13 × 32,564.48
  4. Step 4: Simplify right side
    65,883.42x = 3,214,150,561.77
  5. Step 5: Solve for x
    x = 3,214,150,561.77/65,883.42
  6. Step 6: Final answer
    x = 48,785.42

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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.