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Finding the Fourth Proportional to 30,072.32, 45,096.48 and 9,290.24

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Solution

The fourth proportional to 30,072.32, 45,096.48 and 9,290.24 is: 13,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,072.32 : 45,096.48 = 9,290.24 : x
  2. Step 2: Convert to fraction form
    30,072.32/45,096.48 = 9,290.24/x
  3. Step 3: Cross multiply
    30,072.32x = 45,096.48 × 9,290.24
  4. Step 4: Simplify right side
    30,072.32x = 418,957,122.36
  5. Step 5: Solve for x
    x = 418,957,122.36/30,072.32
  6. Step 6: Final answer
    x = 13,931.65

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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.