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Finding the Fourth Proportional to 50,971.88, 70,326.63 and 30,814.12

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Solution

The fourth proportional to 50,971.88, 70,326.63 and 30,814.12 is: 42,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,971.88 : 70,326.63 = 30,814.12 : x
  2. Step 2: Convert to fraction form
    50,971.88/70,326.63 = 30,814.12/x
  3. Step 3: Cross multiply
    50,971.88x = 70,326.63 × 30,814.12
  4. Step 4: Simplify right side
    50,971.88x = 2,167,053,303.92
  5. Step 5: Solve for x
    x = 2,167,053,303.92/50,971.88
  6. Step 6: Final answer
    x = 42,514.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.