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Finding the Fourth Proportional to 50,842.50, 70,162.65 and 30,970.50

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Solution

The fourth proportional to 50,842.50, 70,162.65 and 30,970.50 is: 42,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,842.50 : 70,162.65 = 30,970.50 : x
  2. Step 2: Convert to fraction form
    50,842.50/70,162.65 = 30,970.50/x
  3. Step 3: Cross multiply
    50,842.50x = 70,162.65 × 30,970.50
  4. Step 4: Simplify right side
    50,842.50x = 2,172,972,351.83
  5. Step 5: Solve for x
    x = 2,172,972,351.83/50,842.50
  6. Step 6: Final answer
    x = 42,739.29

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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.