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Finding the Fourth Proportional to 30,316.29, 45,474.11 and 11,848.13

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Solution

The fourth proportional to 30,316.29, 45,474.11 and 11,848.13 is: 17,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,316.29 : 45,474.11 = 11,848.13 : x
  2. Step 2: Convert to fraction form
    30,316.29/45,474.11 = 11,848.13/x
  3. Step 3: Cross multiply
    30,316.29x = 45,474.11 × 11,848.13
  4. Step 4: Simplify right side
    30,316.29x = 538,782,909.92
  5. Step 5: Solve for x
    x = 538,782,909.92/30,316.29
  6. Step 6: Final answer
    x = 17,772.06

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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.