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Finding the Fourth Proportional to 34,741.52, 52,114.70 and 13,965

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Solution

The fourth proportional to 34,741.52, 52,114.70 and 13,965 is: 20,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,741.52 : 52,114.70 = 13,965 : x
  2. Step 2: Convert to fraction form
    34,741.52/52,114.70 = 13,965/x
  3. Step 3: Cross multiply
    34,741.52x = 52,114.70 × 13,965
  4. Step 4: Simplify right side
    34,741.52x = 727,781,785.50
  5. Step 5: Solve for x
    x = 727,781,785.50/34,741.52
  6. Step 6: Final answer
    x = 20,948.47

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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.