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Finding the Fourth Proportional to 114,780.42, 172,180.53 and 31,674.42

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Solution

The fourth proportional to 114,780.42, 172,180.53 and 31,674.42 is: 47,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,780.42 : 172,180.53 = 31,674.42 : x
  2. Step 2: Convert to fraction form
    114,780.42/172,180.53 = 31,674.42/x
  3. Step 3: Cross multiply
    114,780.42x = 172,180.53 × 31,674.42
  4. Step 4: Simplify right side
    114,780.42x = 5,453,718,423.04
  5. Step 5: Solve for x
    x = 5,453,718,423.04/114,780.42
  6. Step 6: Final answer
    x = 47,514.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.