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Finding the Fourth Proportional to 36,570.76, 54,856.38 and 10,276

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Solution

The fourth proportional to 36,570.76, 54,856.38 and 10,276 is: 15,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,570.76 : 54,856.38 = 10,276 : x
  2. Step 2: Convert to fraction form
    36,570.76/54,856.38 = 10,276/x
  3. Step 3: Cross multiply
    36,570.76x = 54,856.38 × 10,276
  4. Step 4: Simplify right side
    36,570.76x = 563,704,160.88
  5. Step 5: Solve for x
    x = 563,704,160.88/36,570.76
  6. Step 6: Final answer
    x = 15,414.07

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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.