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Finding the Fourth Proportional to 35,377.70, 53,048.28 and 10,414.50

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Solution

The fourth proportional to 35,377.70, 53,048.28 and 10,414.50 is: 15,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,377.70 : 53,048.28 = 10,414.50 : x
  2. Step 2: Convert to fraction form
    35,377.70/53,048.28 = 10,414.50/x
  3. Step 3: Cross multiply
    35,377.70x = 53,048.28 × 10,414.50
  4. Step 4: Simplify right side
    35,377.70x = 552,471,312.06
  5. Step 5: Solve for x
    x = 552,471,312.06/35,377.70
  6. Step 6: Final answer
    x = 15,616.37

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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.