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Finding the Fourth Proportional to 82,126.94, 113,308.62 and 45,822.51

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Solution

The fourth proportional to 82,126.94, 113,308.62 and 45,822.51 is: 63,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,126.94 : 113,308.62 = 45,822.51 : x
  2. Step 2: Convert to fraction form
    82,126.94/113,308.62 = 45,822.51/x
  3. Step 3: Cross multiply
    82,126.94x = 113,308.62 × 45,822.51
  4. Step 4: Simplify right side
    82,126.94x = 5,192,085,458.95
  5. Step 5: Solve for x
    x = 5,192,085,458.95/82,126.94
  6. Step 6: Final answer
    x = 63,220.25

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