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Finding the Fourth Proportional to 114,559.24, 171,841.74 and 31,453

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Solution

The fourth proportional to 114,559.24, 171,841.74 and 31,453 is: 47,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,559.24 : 171,841.74 = 31,453 : x
  2. Step 2: Convert to fraction form
    114,559.24/171,841.74 = 31,453/x
  3. Step 3: Cross multiply
    114,559.24x = 171,841.74 × 31,453
  4. Step 4: Simplify right side
    114,559.24x = 5,404,938,248.22
  5. Step 5: Solve for x
    x = 5,404,938,248.22/114,559.24
  6. Step 6: Final answer
    x = 47,180.29

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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.