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Finding the Fourth Proportional to 47,710.72, 71,528.44 and 30,143.52

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Solution

The fourth proportional to 47,710.72, 71,528.44 and 30,143.52 is: 45,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,710.72 : 71,528.44 = 30,143.52 : x
  2. Step 2: Convert to fraction form
    47,710.72/71,528.44 = 30,143.52/x
  3. Step 3: Cross multiply
    47,710.72x = 71,528.44 × 30,143.52
  4. Step 4: Simplify right side
    47,710.72x = 2,156,118,961.71
  5. Step 5: Solve for x
    x = 2,156,118,961.71/47,710.72
  6. Step 6: Final answer
    x = 45,191.50

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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.