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Finding the Fourth Proportional to 82,134.60, 113,345.72 and 46,324.53

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Solution

The fourth proportional to 82,134.60, 113,345.72 and 46,324.53 is: 63,927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,134.60 : 113,345.72 = 46,324.53 : x
  2. Step 2: Convert to fraction form
    82,134.60/113,345.72 = 46,324.53/x
  3. Step 3: Cross multiply
    82,134.60x = 113,345.72 × 46,324.53
  4. Step 4: Simplify right side
    82,134.60x = 5,250,687,206.51
  5. Step 5: Solve for x
    x = 5,250,687,206.51/82,134.60
  6. Step 6: Final answer
    x = 63,927.84

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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.