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Finding the Fourth Proportional to 114,845.75, 172,093.21 and 48,249.47

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Solution

The fourth proportional to 114,845.75, 172,093.21 and 48,249.47 is: 72,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,845.75 : 172,093.21 = 48,249.47 : x
  2. Step 2: Convert to fraction form
    114,845.75/172,093.21 = 48,249.47/x
  3. Step 3: Cross multiply
    114,845.75x = 172,093.21 × 48,249.47
  4. Step 4: Simplify right side
    114,845.75x = 8,303,406,482.71
  5. Step 5: Solve for x
    x = 8,303,406,482.71/114,845.75
  6. Step 6: Final answer
    x = 72,300.51

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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.