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Finding the Fourth Proportional to 30,172.67, 45,258.51 and 9,111.86

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Solution

The fourth proportional to 30,172.67, 45,258.51 and 9,111.86 is: 13,667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172.67 : 45,258.51 = 9,111.86 : x
  2. Step 2: Convert to fraction form
    30,172.67/45,258.51 = 9,111.86/x
  3. Step 3: Cross multiply
    30,172.67x = 45,258.51 × 9,111.86
  4. Step 4: Simplify right side
    30,172.67x = 412,389,206.93
  5. Step 5: Solve for x
    x = 412,389,206.93/30,172.67
  6. Step 6: Final answer
    x = 13,667.64

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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.