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Finding the Fourth Proportional to 65,804.46, 98,645.82 and 32,050.44

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Solution

The fourth proportional to 65,804.46, 98,645.82 and 32,050.44 is: 48,046.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,804.46 : 98,645.82 = 32,050.44 : x
  2. Step 2: Convert to fraction form
    65,804.46/98,645.82 = 32,050.44/x
  3. Step 3: Cross multiply
    65,804.46x = 98,645.82 × 32,050.44
  4. Step 4: Simplify right side
    65,804.46x = 3,161,641,935.16
  5. Step 5: Solve for x
    x = 3,161,641,935.16/65,804.46
  6. Step 6: Final answer
    x = 48,046.01

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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.