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Finding the Fourth Proportional to 30,292.82, 45,442.19 and 11,588.57

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Solution

The fourth proportional to 30,292.82, 45,442.19 and 11,588.57 is: 17,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292.82 : 45,442.19 = 11,588.57 : x
  2. Step 2: Convert to fraction form
    30,292.82/45,442.19 = 11,588.57/x
  3. Step 3: Cross multiply
    30,292.82x = 45,442.19 × 11,588.57
  4. Step 4: Simplify right side
    30,292.82x = 526,609,999.77
  5. Step 5: Solve for x
    x = 526,609,999.77/30,292.82
  6. Step 6: Final answer
    x = 17,383.99

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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.