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Finding the Fourth Proportional to 50,814.70, 76,112.70 and 42,066.70

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Solution

The fourth proportional to 50,814.70, 76,112.70 and 42,066.70 is: 63,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,814.70 : 76,112.70 = 42,066.70 : x
  2. Step 2: Convert to fraction form
    50,814.70/76,112.70 = 42,066.70/x
  3. Step 3: Cross multiply
    50,814.70x = 76,112.70 × 42,066.70
  4. Step 4: Simplify right side
    50,814.70x = 3,201,810,117.09
  5. Step 5: Solve for x
    x = 3,201,810,117.09/50,814.70
  6. Step 6: Final answer
    x = 63,009.53

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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.