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Finding the Fourth Proportional to 64,542.85, 89,070.27 and 35,865.16

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Solution

The fourth proportional to 64,542.85, 89,070.27 and 35,865.16 is: 49,494.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,542.85 : 89,070.27 = 35,865.16 : x
  2. Step 2: Convert to fraction form
    64,542.85/89,070.27 = 35,865.16/x
  3. Step 3: Cross multiply
    64,542.85x = 89,070.27 × 35,865.16
  4. Step 4: Simplify right side
    64,542.85x = 3,194,519,039.44
  5. Step 5: Solve for x
    x = 3,194,519,039.44/64,542.85
  6. Step 6: Final answer
    x = 49,494.55

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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.