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Finding the Fourth Proportional to 29,970.75, 44,958.29 and 11,502.75

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Solution

The fourth proportional to 29,970.75, 44,958.29 and 11,502.75 is: 17,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970.75 : 44,958.29 = 11,502.75 : x
  2. Step 2: Convert to fraction form
    29,970.75/44,958.29 = 11,502.75/x
  3. Step 3: Cross multiply
    29,970.75x = 44,958.29 × 11,502.75
  4. Step 4: Simplify right side
    29,970.75x = 517,143,970.30
  5. Step 5: Solve for x
    x = 517,143,970.30/29,970.75
  6. Step 6: Final answer
    x = 17,254.96

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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.