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Finding the Fourth Proportional to 25,600.30, 38,400.47 and 8,071.50

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Solution

The fourth proportional to 25,600.30, 38,400.47 and 8,071.50 is: 12,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.30 : 38,400.47 = 8,071.50 : x
  2. Step 2: Convert to fraction form
    25,600.30/38,400.47 = 8,071.50/x
  3. Step 3: Cross multiply
    25,600.30x = 38,400.47 × 8,071.50
  4. Step 4: Simplify right side
    25,600.30x = 309,949,393.61
  5. Step 5: Solve for x
    x = 309,949,393.61/25,600.30
  6. Step 6: Final answer
    x = 12,107.26

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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.