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Finding the Fourth Proportional to 82,102.64, 113,313.40 and 59,516.40

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Solution

The fourth proportional to 82,102.64, 113,313.40 and 59,516.40 is: 82,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,102.64 : 113,313.40 = 59,516.40 : x
  2. Step 2: Convert to fraction form
    82,102.64/113,313.40 = 59,516.40/x
  3. Step 3: Cross multiply
    82,102.64x = 113,313.40 × 59,516.40
  4. Step 4: Simplify right side
    82,102.64x = 6,744,005,639.76
  5. Step 5: Solve for x
    x = 6,744,005,639.76/82,102.64
  6. Step 6: Final answer
    x = 82,141.15

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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.