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Finding the Fourth Proportional to 82,131.66, 113,341.14 and 46,321.98

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Solution

The fourth proportional to 82,131.66, 113,341.14 and 46,321.98 is: 63,924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,131.66 : 113,341.14 = 46,321.98 : x
  2. Step 2: Convert to fraction form
    82,131.66/113,341.14 = 46,321.98/x
  3. Step 3: Cross multiply
    82,131.66x = 113,341.14 × 46,321.98
  4. Step 4: Simplify right side
    82,131.66x = 5,250,186,020.26
  5. Step 5: Solve for x
    x = 5,250,186,020.26/82,131.66
  6. Step 6: Final answer
    x = 63,924.02

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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.