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Finding the Fourth Proportional to 114,549.19, 171,824.09 and 35,663.49

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Solution

The fourth proportional to 114,549.19, 171,824.09 and 35,663.49 is: 53,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,549.19 : 171,824.09 = 35,663.49 : x
  2. Step 2: Convert to fraction form
    114,549.19/171,824.09 = 35,663.49/x
  3. Step 3: Cross multiply
    114,549.19x = 171,824.09 × 35,663.49
  4. Step 4: Simplify right side
    114,549.19x = 6,127,846,537.16
  5. Step 5: Solve for x
    x = 6,127,846,537.16/114,549.19
  6. Step 6: Final answer
    x = 53,495.33

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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.