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Finding the Fourth Proportional to 82,123.32, 113,348.32 and 53,392.98

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Solution

The fourth proportional to 82,123.32, 113,348.32 and 53,392.98 is: 73,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,123.32 : 113,348.32 = 53,392.98 : x
  2. Step 2: Convert to fraction form
    82,123.32/113,348.32 = 53,392.98/x
  3. Step 3: Cross multiply
    82,123.32x = 113,348.32 × 53,392.98
  4. Step 4: Simplify right side
    82,123.32x = 6,052,004,582.79
  5. Step 5: Solve for x
    x = 6,052,004,582.79/82,123.32
  6. Step 6: Final answer
    x = 73,694.11

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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.