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Finding the Fourth Proportional to 40,686, 61,029.36 and 14,395.20

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Solution

The fourth proportional to 40,686, 61,029.36 and 14,395.20 is: 21,592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,686 : 61,029.36 = 14,395.20 : x
  2. Step 2: Convert to fraction form
    40,686/61,029.36 = 14,395.20/x
  3. Step 3: Cross multiply
    40,686x = 61,029.36 × 14,395.20
  4. Step 4: Simplify right side
    40,686x = 878,529,843.07
  5. Step 5: Solve for x
    x = 878,529,843.07/40,686
  6. Step 6: Final answer
    x = 21,592.93

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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.