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Finding the Fourth Proportional to 93,793, 140,689.50 and 28,129

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Solution

The fourth proportional to 93,793, 140,689.50 and 28,129 is: 42,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,793 : 140,689.50 = 28,129 : x
  2. Step 2: Convert to fraction form
    93,793/140,689.50 = 28,129/x
  3. Step 3: Cross multiply
    93,793x = 140,689.50 × 28,129
  4. Step 4: Simplify right side
    93,793x = 3,957,454,945.50
  5. Step 5: Solve for x
    x = 3,957,454,945.50/93,793
  6. Step 6: Final answer
    x = 42,193.50

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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.