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Finding the Fourth Proportional to 50,070.90, 69,097.90 and 31,208

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Solution

The fourth proportional to 50,070.90, 69,097.90 and 31,208 is: 43,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,070.90 : 69,097.90 = 31,208 : x
  2. Step 2: Convert to fraction form
    50,070.90/69,097.90 = 31,208/x
  3. Step 3: Cross multiply
    50,070.90x = 69,097.90 × 31,208
  4. Step 4: Simplify right side
    50,070.90x = 2,156,407,263.20
  5. Step 5: Solve for x
    x = 2,156,407,263.20/50,070.90
  6. Step 6: Final answer
    x = 43,067.08

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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.