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Finding the Fourth Proportional to 82,875, 114,337.51 and 54,211

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Solution

The fourth proportional to 82,875, 114,337.51 and 54,211 is: 74,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,875 : 114,337.51 = 54,211 : x
  2. Step 2: Convert to fraction form
    82,875/114,337.51 = 54,211/x
  3. Step 3: Cross multiply
    82,875x = 114,337.51 × 54,211
  4. Step 4: Simplify right side
    82,875x = 6,198,350,754.61
  5. Step 5: Solve for x
    x = 6,198,350,754.61/82,875
  6. Step 6: Final answer
    x = 74,791.56

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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.