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Finding the Fourth Proportional to 82,143.63, 113,356.17 and 46,330.83

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Solution

The fourth proportional to 82,143.63, 113,356.17 and 46,330.83 is: 63,935.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,143.63 : 113,356.17 = 46,330.83 : x
  2. Step 2: Convert to fraction form
    82,143.63/113,356.17 = 46,330.83/x
  3. Step 3: Cross multiply
    82,143.63x = 113,356.17 × 46,330.83
  4. Step 4: Simplify right side
    82,143.63x = 5,251,885,441.72
  5. Step 5: Solve for x
    x = 5,251,885,441.72/82,143.63
  6. Step 6: Final answer
    x = 63,935.40

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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.