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Finding the Fourth Proportional to 82,953.29, 124,394.83 and 45,502.67

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Solution

The fourth proportional to 82,953.29, 124,394.83 and 45,502.67 is: 68,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,953.29 : 124,394.83 = 45,502.67 : x
  2. Step 2: Convert to fraction form
    82,953.29/124,394.83 = 45,502.67/x
  3. Step 3: Cross multiply
    82,953.29x = 124,394.83 × 45,502.67
  4. Step 4: Simplify right side
    82,953.29x = 5,660,296,899.20
  5. Step 5: Solve for x
    x = 5,660,296,899.20/82,953.29
  6. Step 6: Final answer
    x = 68,234.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.