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Finding the Fourth Proportional to 30,316.16, 45,473.92 and 11,848

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Solution

The fourth proportional to 30,316.16, 45,473.92 and 11,848 is: 17,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,316.16 : 45,473.92 = 11,848 : x
  2. Step 2: Convert to fraction form
    30,316.16/45,473.92 = 11,848/x
  3. Step 3: Cross multiply
    30,316.16x = 45,473.92 × 11,848
  4. Step 4: Simplify right side
    30,316.16x = 538,775,004.16
  5. Step 5: Solve for x
    x = 538,775,004.16/30,316.16
  6. Step 6: Final answer
    x = 17,771.87

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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.