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Finding the Fourth Proportional to 36,314.64, 54,465.42 and 10,012.86

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Solution

The fourth proportional to 36,314.64, 54,465.42 and 10,012.86 is: 15,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,314.64 : 54,465.42 = 10,012.86 : x
  2. Step 2: Convert to fraction form
    36,314.64/54,465.42 = 10,012.86/x
  3. Step 3: Cross multiply
    36,314.64x = 54,465.42 × 10,012.86
  4. Step 4: Simplify right side
    36,314.64x = 545,354,625.30
  5. Step 5: Solve for x
    x = 545,354,625.30/36,314.64
  6. Step 6: Final answer
    x = 15,017.49

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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.