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Finding the Fourth Proportional to 30,442.14, 45,667.51 and 9,383.90

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Solution

The fourth proportional to 30,442.14, 45,667.51 and 9,383.90 is: 14,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.14 : 45,667.51 = 9,383.90 : x
  2. Step 2: Convert to fraction form
    30,442.14/45,667.51 = 9,383.90/x
  3. Step 3: Cross multiply
    30,442.14x = 45,667.51 × 9,383.90
  4. Step 4: Simplify right side
    30,442.14x = 428,539,148.08
  5. Step 5: Solve for x
    x = 428,539,148.08/30,442.14
  6. Step 6: Final answer
    x = 14,077.17

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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.