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Finding the Fourth Proportional to 30,055.08, 45,082.62 and 13,411.14

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Solution

The fourth proportional to 30,055.08, 45,082.62 and 13,411.14 is: 20,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,055.08 : 45,082.62 = 13,411.14 : x
  2. Step 2: Convert to fraction form
    30,055.08/45,082.62 = 13,411.14/x
  3. Step 3: Cross multiply
    30,055.08x = 45,082.62 × 13,411.14
  4. Step 4: Simplify right side
    30,055.08x = 604,609,328.39
  5. Step 5: Solve for x
    x = 604,609,328.39/30,055.08
  6. Step 6: Final answer
    x = 20,116.71

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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.