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Finding the Fourth Proportional to 50,948.30, 70,307.12 and 27,978.08

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Solution

The fourth proportional to 50,948.30, 70,307.12 and 27,978.08 is: 38,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,948.30 : 70,307.12 = 27,978.08 : x
  2. Step 2: Convert to fraction form
    50,948.30/70,307.12 = 27,978.08/x
  3. Step 3: Cross multiply
    50,948.30x = 70,307.12 × 27,978.08
  4. Step 4: Simplify right side
    50,948.30x = 1,967,057,736.50
  5. Step 5: Solve for x
    x = 1,967,057,736.50/50,948.30
  6. Step 6: Final answer
    x = 38,608.90

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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.