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Finding the Fourth Proportional to 114,382.40, 171,590.16 and 35,503

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Solution

The fourth proportional to 114,382.40, 171,590.16 and 35,503 is: 53,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,382.40 : 171,590.16 = 35,503 : x
  2. Step 2: Convert to fraction form
    114,382.40/171,590.16 = 35,503/x
  3. Step 3: Cross multiply
    114,382.40x = 171,590.16 × 35,503
  4. Step 4: Simplify right side
    114,382.40x = 6,091,965,450.48
  5. Step 5: Solve for x
    x = 6,091,965,450.48/114,382.40
  6. Step 6: Final answer
    x = 53,259.64

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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.