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Finding the Fourth Proportional to 93,431.80, 140,147.61 and 31,102.30

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Solution

The fourth proportional to 93,431.80, 140,147.61 and 31,102.30 is: 46,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,431.80 : 140,147.61 = 31,102.30 : x
  2. Step 2: Convert to fraction form
    93,431.80/140,147.61 = 31,102.30/x
  3. Step 3: Cross multiply
    93,431.80x = 140,147.61 × 31,102.30
  4. Step 4: Simplify right side
    93,431.80x = 4,358,913,010.50
  5. Step 5: Solve for x
    x = 4,358,913,010.50/93,431.80
  6. Step 6: Final answer
    x = 46,653.42

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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.