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Finding the Fourth Proportional to 114,830.74, 172,249.35 and 31,724.74

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Solution

The fourth proportional to 114,830.74, 172,249.35 and 31,724.74 is: 47,588.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,830.74 : 172,249.35 = 31,724.74 : x
  2. Step 2: Convert to fraction form
    114,830.74/172,249.35 = 31,724.74/x
  3. Step 3: Cross multiply
    114,830.74x = 172,249.35 × 31,724.74
  4. Step 4: Simplify right side
    114,830.74x = 5,464,565,843.92
  5. Step 5: Solve for x
    x = 5,464,565,843.92/114,830.74
  6. Step 6: Final answer
    x = 47,588.01

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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.