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Finding the Fourth Proportional to 114,570.24, 171,858.24 and 31,464

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Solution

The fourth proportional to 114,570.24, 171,858.24 and 31,464 is: 47,196.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,570.24 : 171,858.24 = 31,464 : x
  2. Step 2: Convert to fraction form
    114,570.24/171,858.24 = 31,464/x
  3. Step 3: Cross multiply
    114,570.24x = 171,858.24 × 31,464
  4. Step 4: Simplify right side
    114,570.24x = 5,407,347,663.36
  5. Step 5: Solve for x
    x = 5,407,347,663.36/114,570.24
  6. Step 6: Final answer
    x = 47,196.79

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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.