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Finding the Fourth Proportional to 114,376.40, 171,581.16 and 35,497

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Solution

The fourth proportional to 114,376.40, 171,581.16 and 35,497 is: 53,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,376.40 : 171,581.16 = 35,497 : x
  2. Step 2: Convert to fraction form
    114,376.40/171,581.16 = 35,497/x
  3. Step 3: Cross multiply
    114,376.40x = 171,581.16 × 35,497
  4. Step 4: Simplify right side
    114,376.40x = 6,090,616,436.52
  5. Step 5: Solve for x
    x = 6,090,616,436.52/114,376.40
  6. Step 6: Final answer
    x = 53,250.64

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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.