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Finding the Fourth Proportional to 93,869.08, 140,774.46 and 31,525

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Solution

The fourth proportional to 93,869.08, 140,774.46 and 31,525 is: 47,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,869.08 : 140,774.46 = 31,525 : x
  2. Step 2: Convert to fraction form
    93,869.08/140,774.46 = 31,525/x
  3. Step 3: Cross multiply
    93,869.08x = 140,774.46 × 31,525
  4. Step 4: Simplify right side
    93,869.08x = 4,437,914,851.50
  5. Step 5: Solve for x
    x = 4,437,914,851.50/93,869.08
  6. Step 6: Final answer
    x = 47,277.71

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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.