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Finding the Fourth Proportional to 69,066.30, 103,682.43 and 46,812.17

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Solution

The fourth proportional to 69,066.30, 103,682.43 and 46,812.17 is: 70,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,066.30 : 103,682.43 = 46,812.17 : x
  2. Step 2: Convert to fraction form
    69,066.30/103,682.43 = 46,812.17/x
  3. Step 3: Cross multiply
    69,066.30x = 103,682.43 × 46,812.17
  4. Step 4: Simplify right side
    69,066.30x = 4,853,599,539.17
  5. Step 5: Solve for x
    x = 4,853,599,539.17/69,066.30
  6. Step 6: Final answer
    x = 70,274.50

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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.