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Finding the Fourth Proportional to 82,882.95, 114,348.47 and 54,218.94

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Solution

The fourth proportional to 82,882.95, 114,348.47 and 54,218.94 is: 74,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,882.95 : 114,348.47 = 54,218.94 : x
  2. Step 2: Convert to fraction form
    82,882.95/114,348.47 = 54,218.94/x
  3. Step 3: Cross multiply
    82,882.95x = 114,348.47 × 54,218.94
  4. Step 4: Simplify right side
    82,882.95x = 6,199,852,562.93
  5. Step 5: Solve for x
    x = 6,199,852,562.93/82,882.95
  6. Step 6: Final answer
    x = 74,802.51

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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.