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Finding the Fourth Proportional to 82,054.19, 113,191.39 and 56,516.63

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Solution

The fourth proportional to 82,054.19, 113,191.39 and 56,516.63 is: 77,963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,054.19 : 113,191.39 = 56,516.63 : x
  2. Step 2: Convert to fraction form
    82,054.19/113,191.39 = 56,516.63/x
  3. Step 3: Cross multiply
    82,054.19x = 113,191.39 × 56,516.63
  4. Step 4: Simplify right side
    82,054.19x = 6,397,195,908.21
  5. Step 5: Solve for x
    x = 6,397,195,908.21/82,054.19
  6. Step 6: Final answer
    x = 77,963.06

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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.