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Finding the Fourth Proportional to 105,014.49, 157,474.35 and 30,117.44

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Solution

The fourth proportional to 105,014.49, 157,474.35 and 30,117.44 is: 45,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,014.49 : 157,474.35 = 30,117.44 : x
  2. Step 2: Convert to fraction form
    105,014.49/157,474.35 = 30,117.44/x
  3. Step 3: Cross multiply
    105,014.49x = 157,474.35 × 30,117.44
  4. Step 4: Simplify right side
    105,014.49x = 4,742,724,287.66
  5. Step 5: Solve for x
    x = 4,742,724,287.66/105,014.49
  6. Step 6: Final answer
    x = 45,162.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.