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Finding the Fourth Proportional to 36,571.76, 54,857.88 and 10,277

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Solution

The fourth proportional to 36,571.76, 54,857.88 and 10,277 is: 15,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,571.76 : 54,857.88 = 10,277 : x
  2. Step 2: Convert to fraction form
    36,571.76/54,857.88 = 10,277/x
  3. Step 3: Cross multiply
    36,571.76x = 54,857.88 × 10,277
  4. Step 4: Simplify right side
    36,571.76x = 563,774,432.76
  5. Step 5: Solve for x
    x = 563,774,432.76/36,571.76
  6. Step 6: Final answer
    x = 15,415.57

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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.