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Finding the Fourth Proportional to 50,732.64, 70,006.68 and 28,071.30

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Solution

The fourth proportional to 50,732.64, 70,006.68 and 28,071.30 is: 38,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,732.64 : 70,006.68 = 28,071.30 : x
  2. Step 2: Convert to fraction form
    50,732.64/70,006.68 = 28,071.30/x
  3. Step 3: Cross multiply
    50,732.64x = 70,006.68 × 28,071.30
  4. Step 4: Simplify right side
    50,732.64x = 1,965,178,516.28
  5. Step 5: Solve for x
    x = 1,965,178,516.28/50,732.64
  6. Step 6: Final answer
    x = 38,735.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.