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Finding the Fourth Proportional to 51,112.69, 70,539.06 and 30,970.42

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Solution

The fourth proportional to 51,112.69, 70,539.06 and 30,970.42 is: 42,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,112.69 : 70,539.06 = 30,970.42 : x
  2. Step 2: Convert to fraction form
    51,112.69/70,539.06 = 30,970.42/x
  3. Step 3: Cross multiply
    51,112.69x = 70,539.06 × 30,970.42
  4. Step 4: Simplify right side
    51,112.69x = 2,184,624,314.61
  5. Step 5: Solve for x
    x = 2,184,624,314.61/51,112.69
  6. Step 6: Final answer
    x = 42,741.33

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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.