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Finding the Fourth Proportional to 93,485.65, 140,229.29 and 31,156.15

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Solution

The fourth proportional to 93,485.65, 140,229.29 and 31,156.15 is: 46,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,485.65 : 140,229.29 = 31,156.15 : x
  2. Step 2: Convert to fraction form
    93,485.65/140,229.29 = 31,156.15/x
  3. Step 3: Cross multiply
    93,485.65x = 140,229.29 × 31,156.15
  4. Step 4: Simplify right side
    93,485.65x = 4,369,004,793.63
  5. Step 5: Solve for x
    x = 4,369,004,793.63/93,485.65
  6. Step 6: Final answer
    x = 46,734.50

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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.