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Finding the Fourth Proportional to 82,218.33, 113,384.29 and 54,574.10

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Solution

The fourth proportional to 82,218.33, 113,384.29 and 54,574.10 is: 75,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,218.33 : 113,384.29 = 54,574.10 : x
  2. Step 2: Convert to fraction form
    82,218.33/113,384.29 = 54,574.10/x
  3. Step 3: Cross multiply
    82,218.33x = 113,384.29 × 54,574.10
  4. Step 4: Simplify right side
    82,218.33x = 6,187,845,580.89
  5. Step 5: Solve for x
    x = 6,187,845,580.89/82,218.33
  6. Step 6: Final answer
    x = 75,261.14

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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.