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Finding the Fourth Proportional to 82,772.02, 114,227.96 and 46,963.54

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Solution

The fourth proportional to 82,772.02, 114,227.96 and 46,963.54 is: 64,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,772.02 : 114,227.96 = 46,963.54 : x
  2. Step 2: Convert to fraction form
    82,772.02/114,227.96 = 46,963.54/x
  3. Step 3: Cross multiply
    82,772.02x = 114,227.96 × 46,963.54
  4. Step 4: Simplify right side
    82,772.02x = 5,364,549,368.58
  5. Step 5: Solve for x
    x = 5,364,549,368.58/82,772.02
  6. Step 6: Final answer
    x = 64,811.14

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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.