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Finding the Fourth Proportional to 46,431.49, 69,687 and 46,082.02

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Solution

The fourth proportional to 46,431.49, 69,687 and 46,082.02 is: 69,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,431.49 : 69,687 = 46,082.02 : x
  2. Step 2: Convert to fraction form
    46,431.49/69,687 = 46,082.02/x
  3. Step 3: Cross multiply
    46,431.49x = 69,687 × 46,082.02
  4. Step 4: Simplify right side
    46,431.49x = 3,211,317,727.74
  5. Step 5: Solve for x
    x = 3,211,317,727.74/46,431.49
  6. Step 6: Final answer
    x = 69,162.50

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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.