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Finding the Fourth Proportional to 29,456.65, 44,186.37 and 9,734.77

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Solution

The fourth proportional to 29,456.65, 44,186.37 and 9,734.77 is: 14,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,456.65 : 44,186.37 = 9,734.77 : x
  2. Step 2: Convert to fraction form
    29,456.65/44,186.37 = 9,734.77/x
  3. Step 3: Cross multiply
    29,456.65x = 44,186.37 × 9,734.77
  4. Step 4: Simplify right side
    29,456.65x = 430,144,149.08
  5. Step 5: Solve for x
    x = 430,144,149.08/29,456.65
  6. Step 6: Final answer
    x = 14,602.62

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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.