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Finding the Fourth Proportional to 88,064, 132,100.80 and 35,466.64

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Solution

The fourth proportional to 88,064, 132,100.80 and 35,466.64 is: 53,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,064 : 132,100.80 = 35,466.64 : x
  2. Step 2: Convert to fraction form
    88,064/132,100.80 = 35,466.64/x
  3. Step 3: Cross multiply
    88,064x = 132,100.80 × 35,466.64
  4. Step 4: Simplify right side
    88,064x = 4,685,171,517.31
  5. Step 5: Solve for x
    x = 4,685,171,517.31/88,064
  6. Step 6: Final answer
    x = 53,201.89

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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.