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Finding the Fourth Proportional to 64,822.26, 89,454.70 and 35,014.26

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Solution

The fourth proportional to 64,822.26, 89,454.70 and 35,014.26 is: 48,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,822.26 : 89,454.70 = 35,014.26 : x
  2. Step 2: Convert to fraction form
    64,822.26/89,454.70 = 35,014.26/x
  3. Step 3: Cross multiply
    64,822.26x = 89,454.70 × 35,014.26
  4. Step 4: Simplify right side
    64,822.26x = 3,132,190,124.02
  5. Step 5: Solve for x
    x = 3,132,190,124.02/64,822.26
  6. Step 6: Final answer
    x = 48,319.67

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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.