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Finding the Fourth Proportional to 82,570.34, 113,949.76 and 46,759.58

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Solution

The fourth proportional to 82,570.34, 113,949.76 and 46,759.58 is: 64,529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,570.34 : 113,949.76 = 46,759.58 : x
  2. Step 2: Convert to fraction form
    82,570.34/113,949.76 = 46,759.58/x
  3. Step 3: Cross multiply
    82,570.34x = 113,949.76 × 46,759.58
  4. Step 4: Simplify right side
    82,570.34x = 5,328,243,086.68
  5. Step 5: Solve for x
    x = 5,328,243,086.68/82,570.34
  6. Step 6: Final answer
    x = 64,529.74

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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.