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Finding the Fourth Proportional to 77,082.75, 106,368.31 and 46,863.88

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Solution

The fourth proportional to 77,082.75, 106,368.31 and 46,863.88 is: 64,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,082.75 : 106,368.31 = 46,863.88 : x
  2. Step 2: Convert to fraction form
    77,082.75/106,368.31 = 46,863.88/x
  3. Step 3: Cross multiply
    77,082.75x = 106,368.31 × 46,863.88
  4. Step 4: Simplify right side
    77,082.75x = 4,984,831,715.64
  5. Step 5: Solve for x
    x = 4,984,831,715.64/77,082.75
  6. Step 6: Final answer
    x = 64,668.58

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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.