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Finding the Fourth Proportional to 114,423.40, 171,632.40 and 31,317.40

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Solution

The fourth proportional to 114,423.40, 171,632.40 and 31,317.40 is: 46,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,423.40 : 171,632.40 = 31,317.40 : x
  2. Step 2: Convert to fraction form
    114,423.40/171,632.40 = 31,317.40/x
  3. Step 3: Cross multiply
    114,423.40x = 171,632.40 × 31,317.40
  4. Step 4: Simplify right side
    114,423.40x = 5,375,080,523.76
  5. Step 5: Solve for x
    x = 5,375,080,523.76/114,423.40
  6. Step 6: Final answer
    x = 46,975.36

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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.