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Finding the Fourth Proportional to 65,584.89, 98,386.49 and 32,305.23

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Solution

The fourth proportional to 65,584.89, 98,386.49 and 32,305.23 is: 48,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,584.89 : 98,386.49 = 32,305.23 : x
  2. Step 2: Convert to fraction form
    65,584.89/98,386.49 = 32,305.23/x
  3. Step 3: Cross multiply
    65,584.89x = 98,386.49 × 32,305.23
  4. Step 4: Simplify right side
    65,584.89x = 3,178,397,696.41
  5. Step 5: Solve for x
    x = 3,178,397,696.41/65,584.89
  6. Step 6: Final answer
    x = 48,462.35

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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.