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Finding the Fourth Proportional to 64,502.26, 89,010.52 and 35,823.40

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Solution

The fourth proportional to 64,502.26, 89,010.52 and 35,823.40 is: 49,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,502.26 : 89,010.52 = 35,823.40 : x
  2. Step 2: Convert to fraction form
    64,502.26/89,010.52 = 35,823.40/x
  3. Step 3: Cross multiply
    64,502.26x = 89,010.52 × 35,823.40
  4. Step 4: Simplify right side
    64,502.26x = 3,188,659,462.17
  5. Step 5: Solve for x
    x = 3,188,659,462.17/64,502.26
  6. Step 6: Final answer
    x = 49,434.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.