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Finding the Fourth Proportional to 65,476.26, 98,257.41 and 35,914.86

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Solution

The fourth proportional to 65,476.26, 98,257.41 and 35,914.86 is: 53,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,476.26 : 98,257.41 = 35,914.86 : x
  2. Step 2: Convert to fraction form
    65,476.26/98,257.41 = 35,914.86/x
  3. Step 3: Cross multiply
    65,476.26x = 98,257.41 × 35,914.86
  4. Step 4: Simplify right side
    65,476.26x = 3,528,901,124.11
  5. Step 5: Solve for x
    x = 3,528,901,124.11/65,476.26
  6. Step 6: Final answer
    x = 53,895.89

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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.