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Finding the Fourth Proportional to 30,084.42, 45,133.83 and 9,307.92

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Solution

The fourth proportional to 30,084.42, 45,133.83 and 9,307.92 is: 13,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084.42 : 45,133.83 = 9,307.92 : x
  2. Step 2: Convert to fraction form
    30,084.42/45,133.83 = 9,307.92/x
  3. Step 3: Cross multiply
    30,084.42x = 45,133.83 × 9,307.92
  4. Step 4: Simplify right side
    30,084.42x = 420,102,078.93
  5. Step 5: Solve for x
    x = 420,102,078.93/30,084.42
  6. Step 6: Final answer
    x = 13,964.11

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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.