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Finding the Fourth Proportional to 82,133.09, 113,341.07 and 45,835.57

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Solution

The fourth proportional to 82,133.09, 113,341.07 and 45,835.57 is: 63,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,133.09 : 113,341.07 = 45,835.57 : x
  2. Step 2: Convert to fraction form
    82,133.09/113,341.07 = 45,835.57/x
  3. Step 3: Cross multiply
    82,133.09x = 113,341.07 × 45,835.57
  4. Step 4: Simplify right side
    82,133.09x = 5,195,052,804.13
  5. Step 5: Solve for x
    x = 5,195,052,804.13/82,133.09
  6. Step 6: Final answer
    x = 63,251.64

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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.