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Finding the Fourth Proportional to 82,393.32, 113,708.61 and 46,583.67

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Solution

The fourth proportional to 82,393.32, 113,708.61 and 46,583.67 is: 64,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,393.32 : 113,708.61 = 46,583.67 : x
  2. Step 2: Convert to fraction form
    82,393.32/113,708.61 = 46,583.67/x
  3. Step 3: Cross multiply
    82,393.32x = 113,708.61 × 46,583.67
  4. Step 4: Simplify right side
    82,393.32x = 5,296,964,364.40
  5. Step 5: Solve for x
    x = 5,296,964,364.40/82,393.32
  6. Step 6: Final answer
    x = 64,288.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.