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Finding the Fourth Proportional to 50,888.50, 70,226.14 and 31,016.50

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Solution

The fourth proportional to 50,888.50, 70,226.14 and 31,016.50 is: 42,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,888.50 : 70,226.14 = 31,016.50 : x
  2. Step 2: Convert to fraction form
    50,888.50/70,226.14 = 31,016.50/x
  3. Step 3: Cross multiply
    50,888.50x = 70,226.14 × 31,016.50
  4. Step 4: Simplify right side
    50,888.50x = 2,178,169,071.31
  5. Step 5: Solve for x
    x = 2,178,169,071.31/50,888.50
  6. Step 6: Final answer
    x = 42,802.78

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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.