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Finding the Fourth Proportional to 82,143.16, 113,357.02 and 46,333.48

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Solution

The fourth proportional to 82,143.16, 113,357.02 and 46,333.48 is: 63,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,143.16 : 113,357.02 = 46,333.48 : x
  2. Step 2: Convert to fraction form
    82,143.16/113,357.02 = 46,333.48/x
  3. Step 3: Cross multiply
    82,143.16x = 113,357.02 × 46,333.48
  4. Step 4: Simplify right side
    82,143.16x = 5,252,225,219.03
  5. Step 5: Solve for x
    x = 5,252,225,219.03/82,143.16
  6. Step 6: Final answer
    x = 63,939.90

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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.