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Finding the Fourth Proportional to 47,647.87, 71,523.52 and 35,835.35

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Solution

The fourth proportional to 47,647.87, 71,523.52 and 35,835.35 is: 53,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,647.87 : 71,523.52 = 35,835.35 : x
  2. Step 2: Convert to fraction form
    47,647.87/71,523.52 = 35,835.35/x
  3. Step 3: Cross multiply
    47,647.87x = 71,523.52 × 35,835.35
  4. Step 4: Simplify right side
    47,647.87x = 2,563,069,925.23
  5. Step 5: Solve for x
    x = 2,563,069,925.23/47,647.87
  6. Step 6: Final answer
    x = 53,791.91

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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.