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Finding the Fourth Proportional to 53,059.32, 73,219.14 and 29,185.38

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Solution

The fourth proportional to 53,059.32, 73,219.14 and 29,185.38 is: 40,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,059.32 : 73,219.14 = 29,185.38 : x
  2. Step 2: Convert to fraction form
    53,059.32/73,219.14 = 29,185.38/x
  3. Step 3: Cross multiply
    53,059.32x = 73,219.14 × 29,185.38
  4. Step 4: Simplify right side
    53,059.32x = 2,136,928,424.17
  5. Step 5: Solve for x
    x = 2,136,928,424.17/53,059.32
  6. Step 6: Final answer
    x = 40,274.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.