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Finding the Fourth Proportional to 114,967.71, 172,451.25 and 36,087.84

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Solution

The fourth proportional to 114,967.71, 172,451.25 and 36,087.84 is: 54,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,967.71 : 172,451.25 = 36,087.84 : x
  2. Step 2: Convert to fraction form
    114,967.71/172,451.25 = 36,087.84/x
  3. Step 3: Cross multiply
    114,967.71x = 172,451.25 × 36,087.84
  4. Step 4: Simplify right side
    114,967.71x = 6,223,393,117.80
  5. Step 5: Solve for x
    x = 6,223,393,117.80/114,967.71
  6. Step 6: Final answer
    x = 54,131.66

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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.