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Finding the Fourth Proportional to 82,323.74, 113,617.18 and 46,512.98

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Solution

The fourth proportional to 82,323.74, 113,617.18 and 46,512.98 is: 64,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,323.74 : 113,617.18 = 46,512.98 : x
  2. Step 2: Convert to fraction form
    82,323.74/113,617.18 = 46,512.98/x
  3. Step 3: Cross multiply
    82,323.74x = 113,617.18 × 46,512.98
  4. Step 4: Simplify right side
    82,323.74x = 5,284,674,176.21
  5. Step 5: Solve for x
    x = 5,284,674,176.21/82,323.74
  6. Step 6: Final answer
    x = 64,193.80

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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.