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Finding the Fourth Proportional to 51,812.12, 77,630.70 and 41,402

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Solution

The fourth proportional to 51,812.12, 77,630.70 and 41,402 is: 62,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,812.12 : 77,630.70 = 41,402 : x
  2. Step 2: Convert to fraction form
    51,812.12/77,630.70 = 41,402/x
  3. Step 3: Cross multiply
    51,812.12x = 77,630.70 × 41,402
  4. Step 4: Simplify right side
    51,812.12x = 3,214,066,241.40
  5. Step 5: Solve for x
    x = 3,214,066,241.40/51,812.12
  6. Step 6: Final answer
    x = 62,033.10

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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.