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Finding the Fourth Proportional to 29,500.74, 44,241.54 and 9,774

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Solution

The fourth proportional to 29,500.74, 44,241.54 and 9,774 is: 14,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,500.74 : 44,241.54 = 9,774 : x
  2. Step 2: Convert to fraction form
    29,500.74/44,241.54 = 9,774/x
  3. Step 3: Cross multiply
    29,500.74x = 44,241.54 × 9,774
  4. Step 4: Simplify right side
    29,500.74x = 432,416,830.29
  5. Step 5: Solve for x
    x = 432,416,830.29/29,500.74
  6. Step 6: Final answer
    x = 14,657.83

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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.