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Finding the Fourth Proportional to 29,749.75, 44,602.75 and 14,178.31

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Solution

The fourth proportional to 29,749.75, 44,602.75 and 14,178.31 is: 21,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,749.75 : 44,602.75 = 14,178.31 : x
  2. Step 2: Convert to fraction form
    29,749.75/44,602.75 = 14,178.31/x
  3. Step 3: Cross multiply
    29,749.75x = 44,602.75 × 14,178.31
  4. Step 4: Simplify right side
    29,749.75x = 632,391,522.57
  5. Step 5: Solve for x
    x = 632,391,522.57/29,749.75
  6. Step 6: Final answer
    x = 21,257.04

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1.5x scale

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.