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Finding the Fourth Proportional to 82,052.19, 113,232.74 and 46,235.34

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Solution

The fourth proportional to 82,052.19, 113,232.74 and 46,235.34 is: 63,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,052.19 : 113,232.74 = 46,235.34 : x
  2. Step 2: Convert to fraction form
    82,052.19/113,232.74 = 46,235.34/x
  3. Step 3: Cross multiply
    82,052.19x = 113,232.74 × 46,235.34
  4. Step 4: Simplify right side
    82,052.19x = 5,235,354,001.85
  5. Step 5: Solve for x
    x = 5,235,354,001.85/82,052.19
  6. Step 6: Final answer
    x = 63,805.17

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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.