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Finding the Fourth Proportional to 93,643.26, 140,472.61 and 30,461.94

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Solution

The fourth proportional to 93,643.26, 140,472.61 and 30,461.94 is: 45,695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,643.26 : 140,472.61 = 30,461.94 : x
  2. Step 2: Convert to fraction form
    93,643.26/140,472.61 = 30,461.94/x
  3. Step 3: Cross multiply
    93,643.26x = 140,472.61 × 30,461.94
  4. Step 4: Simplify right side
    93,643.26x = 4,279,068,141.31
  5. Step 5: Solve for x
    x = 4,279,068,141.31/93,643.26
  6. Step 6: Final answer
    x = 45,695.42

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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.