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Finding the Fourth Proportional to 64,152.60, 96,200.10 and 24,696.60

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Solution

The fourth proportional to 64,152.60, 96,200.10 and 24,696.60 is: 37,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,152.60 : 96,200.10 = 24,696.60 : x
  2. Step 2: Convert to fraction form
    64,152.60/96,200.10 = 24,696.60/x
  3. Step 3: Cross multiply
    64,152.60x = 96,200.10 × 24,696.60
  4. Step 4: Simplify right side
    64,152.60x = 2,375,815,389.66
  5. Step 5: Solve for x
    x = 2,375,815,389.66/64,152.60
  6. Step 6: Final answer
    x = 37,033.81

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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.