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Finding the Fourth Proportional to 114,597.22, 171,895.80 and 35,717.80

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Solution

The fourth proportional to 114,597.22, 171,895.80 and 35,717.80 is: 53,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,597.22 : 171,895.80 = 35,717.80 : x
  2. Step 2: Convert to fraction form
    114,597.22/171,895.80 = 35,717.80/x
  3. Step 3: Cross multiply
    114,597.22x = 171,895.80 × 35,717.80
  4. Step 4: Simplify right side
    114,597.22x = 6,139,739,805.24
  5. Step 5: Solve for x
    x = 6,139,739,805.24/114,597.22
  6. Step 6: Final answer
    x = 53,576.69

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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.