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Finding the Fourth Proportional to 30,781.95, 46,172.93 and 7,408.38

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Solution

The fourth proportional to 30,781.95, 46,172.93 and 7,408.38 is: 11,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.95 : 46,172.93 = 7,408.38 : x
  2. Step 2: Convert to fraction form
    30,781.95/46,172.93 = 7,408.38/x
  3. Step 3: Cross multiply
    30,781.95x = 46,172.93 × 7,408.38
  4. Step 4: Simplify right side
    30,781.95x = 342,066,574.11
  5. Step 5: Solve for x
    x = 342,066,574.11/30,781.95
  6. Step 6: Final answer
    x = 11,112.57

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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.