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Finding the Fourth Proportional to 29,462, 44,182.20 and 9,734.96

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Solution

The fourth proportional to 29,462, 44,182.20 and 9,734.96 is: 14,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,462 : 44,182.20 = 9,734.96 : x
  2. Step 2: Convert to fraction form
    29,462/44,182.20 = 9,734.96/x
  3. Step 3: Cross multiply
    29,462x = 44,182.20 × 9,734.96
  4. Step 4: Simplify right side
    29,462x = 430,111,949.71
  5. Step 5: Solve for x
    x = 430,111,949.71/29,462
  6. Step 6: Final answer
    x = 14,598.87

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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.