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Finding the Fourth Proportional to 29,187.74, 43,787.77 and 9,464.76

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Solution

The fourth proportional to 29,187.74, 43,787.77 and 9,464.76 is: 14,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,187.74 : 43,787.77 = 9,464.76 : x
  2. Step 2: Convert to fraction form
    29,187.74/43,787.77 = 9,464.76/x
  3. Step 3: Cross multiply
    29,187.74x = 43,787.77 × 9,464.76
  4. Step 4: Simplify right side
    29,187.74x = 414,440,733.99
  5. Step 5: Solve for x
    x = 414,440,733.99/29,187.74
  6. Step 6: Final answer
    x = 14,199.14

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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.