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Finding the Fourth Proportional to 114,453.60, 171,680.40 and 31,347.60

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Solution

The fourth proportional to 114,453.60, 171,680.40 and 31,347.60 is: 47,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,453.60 : 171,680.40 = 31,347.60 : x
  2. Step 2: Convert to fraction form
    114,453.60/171,680.40 = 31,347.60/x
  3. Step 3: Cross multiply
    114,453.60x = 171,680.40 × 31,347.60
  4. Step 4: Simplify right side
    114,453.60x = 5,381,768,507.04
  5. Step 5: Solve for x
    x = 5,381,768,507.04/114,453.60
  6. Step 6: Final answer
    x = 47,021.40

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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.