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Finding the Fourth Proportional to 114,564.24, 171,849.24 and 31,458

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Solution

The fourth proportional to 114,564.24, 171,849.24 and 31,458 is: 47,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,564.24 : 171,849.24 = 31,458 : x
  2. Step 2: Convert to fraction form
    114,564.24/171,849.24 = 31,458/x
  3. Step 3: Cross multiply
    114,564.24x = 171,849.24 × 31,458
  4. Step 4: Simplify right side
    114,564.24x = 5,406,033,391.92
  5. Step 5: Solve for x
    x = 5,406,033,391.92/114,564.24
  6. Step 6: Final answer
    x = 47,187.79

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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.