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Finding the Fourth Proportional to 82,626.98, 114,024.92 and 46,823.81

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Solution

The fourth proportional to 82,626.98, 114,024.92 and 46,823.81 is: 64,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,626.98 : 114,024.92 = 46,823.81 : x
  2. Step 2: Convert to fraction form
    82,626.98/114,024.92 = 46,823.81/x
  3. Step 3: Cross multiply
    82,626.98x = 114,024.92 × 46,823.81
  4. Step 4: Simplify right side
    82,626.98x = 5,339,080,385.10
  5. Step 5: Solve for x
    x = 5,339,080,385.10/82,626.98
  6. Step 6: Final answer
    x = 64,616.67

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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.