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Finding the Fourth Proportional to 29,618.52, 44,378.52 and 20,835

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Solution

The fourth proportional to 29,618.52, 44,378.52 and 20,835 is: 31,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,618.52 : 44,378.52 = 20,835 : x
  2. Step 2: Convert to fraction form
    29,618.52/44,378.52 = 20,835/x
  3. Step 3: Cross multiply
    29,618.52x = 44,378.52 × 20,835
  4. Step 4: Simplify right side
    29,618.52x = 924,626,464.20
  5. Step 5: Solve for x
    x = 924,626,464.20/29,618.52
  6. Step 6: Final answer
    x = 31,217.85

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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.