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Finding the Fourth Proportional to 36,437.76, 54,656.70 and 10,142.49

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Solution

The fourth proportional to 36,437.76, 54,656.70 and 10,142.49 is: 15,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,437.76 : 54,656.70 = 10,142.49 : x
  2. Step 2: Convert to fraction form
    36,437.76/54,656.70 = 10,142.49/x
  3. Step 3: Cross multiply
    36,437.76x = 54,656.70 × 10,142.49
  4. Step 4: Simplify right side
    36,437.76x = 554,355,033.18
  5. Step 5: Solve for x
    x = 554,355,033.18/36,437.76
  6. Step 6: Final answer
    x = 15,213.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.