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Finding the Fourth Proportional to 25,305.21, 37,951.18 and 7,531.08

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Solution

The fourth proportional to 25,305.21, 37,951.18 and 7,531.08 is: 11,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,305.21 : 37,951.18 = 7,531.08 : x
  2. Step 2: Convert to fraction form
    25,305.21/37,951.18 = 7,531.08/x
  3. Step 3: Cross multiply
    25,305.21x = 37,951.18 × 7,531.08
  4. Step 4: Simplify right side
    25,305.21x = 285,813,253.89
  5. Step 5: Solve for x
    x = 285,813,253.89/25,305.21
  6. Step 6: Final answer
    x = 11,294.64

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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.