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Finding the Fourth Proportional to 30,172.95, 45,265.77 and 9,114.57

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Solution

The fourth proportional to 30,172.95, 45,265.77 and 9,114.57 is: 13,673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172.95 : 45,265.77 = 9,114.57 : x
  2. Step 2: Convert to fraction form
    30,172.95/45,265.77 = 9,114.57/x
  3. Step 3: Cross multiply
    30,172.95x = 45,265.77 × 9,114.57
  4. Step 4: Simplify right side
    30,172.95x = 412,578,029.27
  5. Step 5: Solve for x
    x = 412,578,029.27/30,172.95
  6. Step 6: Final answer
    x = 13,673.77

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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.