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Finding the Fourth Proportional to 37,585.76, 56,385.04 and 12,956

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Solution

The fourth proportional to 37,585.76, 56,385.04 and 12,956 is: 19,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,585.76 : 56,385.04 = 12,956 : x
  2. Step 2: Convert to fraction form
    37,585.76/56,385.04 = 12,956/x
  3. Step 3: Cross multiply
    37,585.76x = 56,385.04 × 12,956
  4. Step 4: Simplify right side
    37,585.76x = 730,524,578.24
  5. Step 5: Solve for x
    x = 730,524,578.24/37,585.76
  6. Step 6: Final answer
    x = 19,436.21

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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.