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Finding the Fourth Proportional to 82,764, 114,217.92 and 46,954.08

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Solution

The fourth proportional to 82,764, 114,217.92 and 46,954.08 is: 64,798.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,764 : 114,217.92 = 46,954.08 : x
  2. Step 2: Convert to fraction form
    82,764/114,217.92 = 46,954.08/x
  3. Step 3: Cross multiply
    82,764x = 114,217.92 × 46,954.08
  4. Step 4: Simplify right side
    82,764x = 5,362,997,353.11
  5. Step 5: Solve for x
    x = 5,362,997,353.11/82,764
  6. Step 6: Final answer
    x = 64,798.67

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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.