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Finding the Fourth Proportional to 29,725.32, 44,593.95 and 9,740.46

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Solution

The fourth proportional to 29,725.32, 44,593.95 and 9,740.46 is: 14,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,725.32 : 44,593.95 = 9,740.46 : x
  2. Step 2: Convert to fraction form
    29,725.32/44,593.95 = 9,740.46/x
  3. Step 3: Cross multiply
    29,725.32x = 44,593.95 × 9,740.46
  4. Step 4: Simplify right side
    29,725.32x = 434,365,586.22
  5. Step 5: Solve for x
    x = 434,365,586.22/29,725.32
  6. Step 6: Final answer
    x = 14,612.65

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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.