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Finding the Fourth Proportional to 82,314.98, 113,593.83 and 46,504.94

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Solution

The fourth proportional to 82,314.98, 113,593.83 and 46,504.94 is: 64,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,314.98 : 113,593.83 = 46,504.94 : x
  2. Step 2: Convert to fraction form
    82,314.98/113,593.83 = 46,504.94/x
  3. Step 3: Cross multiply
    82,314.98x = 113,593.83 × 46,504.94
  4. Step 4: Simplify right side
    82,314.98x = 5,282,674,248.52
  5. Step 5: Solve for x
    x = 5,282,674,248.52/82,314.98
  6. Step 6: Final answer
    x = 64,176.34

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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.