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Finding the Fourth Proportional to 82,142.88, 113,357.04 and 46,332.78

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Solution

The fourth proportional to 82,142.88, 113,357.04 and 46,332.78 is: 63,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,142.88 : 113,357.04 = 46,332.78 : x
  2. Step 2: Convert to fraction form
    82,142.88/113,357.04 = 46,332.78/x
  3. Step 3: Cross multiply
    82,142.88x = 113,357.04 × 46,332.78
  4. Step 4: Simplify right side
    82,142.88x = 5,252,146,795.77
  5. Step 5: Solve for x
    x = 5,252,146,795.77/82,142.88
  6. Step 6: Final answer
    x = 63,939.16

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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.