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Finding the Fourth Proportional to 82,785.95, 114,241.44 and 46,973.82

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Solution

The fourth proportional to 82,785.95, 114,241.44 and 46,973.82 is: 64,822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,785.95 : 114,241.44 = 46,973.82 : x
  2. Step 2: Convert to fraction form
    82,785.95/114,241.44 = 46,973.82/x
  3. Step 3: Cross multiply
    82,785.95x = 114,241.44 × 46,973.82
  4. Step 4: Simplify right side
    82,785.95x = 5,366,357,179.43
  5. Step 5: Solve for x
    x = 5,366,357,179.43/82,785.95
  6. Step 6: Final answer
    x = 64,822.08

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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.