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Finding the Fourth Proportional to 93,967.53, 140,921.19 and 30,770.52

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Solution

The fourth proportional to 93,967.53, 140,921.19 and 30,770.52 is: 46,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,967.53 : 140,921.19 = 30,770.52 : x
  2. Step 2: Convert to fraction form
    93,967.53/140,921.19 = 30,770.52/x
  3. Step 3: Cross multiply
    93,967.53x = 140,921.19 × 30,770.52
  4. Step 4: Simplify right side
    93,967.53x = 4,336,218,295.32
  5. Step 5: Solve for x
    x = 4,336,218,295.32/93,967.53
  6. Step 6: Final answer
    x = 46,145.92

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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.