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Finding the Fourth Proportional to 29,649.46, 44,474.18 and 7,463.02

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Solution

The fourth proportional to 29,649.46, 44,474.18 and 7,463.02 is: 11,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,649.46 : 44,474.18 = 7,463.02 : x
  2. Step 2: Convert to fraction form
    29,649.46/44,474.18 = 7,463.02/x
  3. Step 3: Cross multiply
    29,649.46x = 44,474.18 × 7,463.02
  4. Step 4: Simplify right side
    29,649.46x = 331,911,875.06
  5. Step 5: Solve for x
    x = 331,911,875.06/29,649.46
  6. Step 6: Final answer
    x = 11,194.54

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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.