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Finding the Fourth Proportional to 47,883, 71,824.50 and 15,051

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Solution

The fourth proportional to 47,883, 71,824.50 and 15,051 is: 22,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,883 : 71,824.50 = 15,051 : x
  2. Step 2: Convert to fraction form
    47,883/71,824.50 = 15,051/x
  3. Step 3: Cross multiply
    47,883x = 71,824.50 × 15,051
  4. Step 4: Simplify right side
    47,883x = 1,081,030,549.50
  5. Step 5: Solve for x
    x = 1,081,030,549.50/47,883
  6. Step 6: Final answer
    x = 22,576.50

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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.