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Finding the Fourth Proportional to 82,813.31, 114,273.27 and 46,507.39

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Solution

The fourth proportional to 82,813.31, 114,273.27 and 46,507.39 is: 64,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,813.31 : 114,273.27 = 46,507.39 : x
  2. Step 2: Convert to fraction form
    82,813.31/114,273.27 = 46,507.39/x
  3. Step 3: Cross multiply
    82,813.31x = 114,273.27 × 46,507.39
  4. Step 4: Simplify right side
    82,813.31x = 5,314,551,248.78
  5. Step 5: Solve for x
    x = 5,314,551,248.78/82,813.31
  6. Step 6: Final answer
    x = 64,175.08

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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.