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Finding the Fourth Proportional to 31,202.34, 46,802.97 and 30,095.34

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Solution

The fourth proportional to 31,202.34, 46,802.97 and 30,095.34 is: 45,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202.34 : 46,802.97 = 30,095.34 : x
  2. Step 2: Convert to fraction form
    31,202.34/46,802.97 = 30,095.34/x
  3. Step 3: Cross multiply
    31,202.34x = 46,802.97 × 30,095.34
  4. Step 4: Simplify right side
    31,202.34x = 1,408,551,295.16
  5. Step 5: Solve for x
    x = 1,408,551,295.16/31,202.34
  6. Step 6: Final answer
    x = 45,142.49

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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.