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Finding the Fourth Proportional to 82,662.22, 114,075.74 and 44,936.47

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Solution

The fourth proportional to 82,662.22, 114,075.74 and 44,936.47 is: 62,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,662.22 : 114,075.74 = 44,936.47 : x
  2. Step 2: Convert to fraction form
    82,662.22/114,075.74 = 44,936.47/x
  3. Step 3: Cross multiply
    82,662.22x = 114,075.74 × 44,936.47
  4. Step 4: Simplify right side
    82,662.22x = 5,126,161,323.17
  5. Step 5: Solve for x
    x = 5,126,161,323.17/82,662.22
  6. Step 6: Final answer
    x = 62,013.35

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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.