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Finding the Fourth Proportional to 114,362.28, 171,566.10 and 35,473.14

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Solution

The fourth proportional to 114,362.28, 171,566.10 and 35,473.14 is: 53,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,362.28 : 171,566.10 = 35,473.14 : x
  2. Step 2: Convert to fraction form
    114,362.28/171,566.10 = 35,473.14/x
  3. Step 3: Cross multiply
    114,362.28x = 171,566.10 × 35,473.14
  4. Step 4: Simplify right side
    114,362.28x = 6,085,988,284.55
  5. Step 5: Solve for x
    x = 6,085,988,284.55/114,362.28
  6. Step 6: Final answer
    x = 53,216.74

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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.