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Finding the Fourth Proportional to 30,481.38, 45,715.14 and 14,678.35

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Solution

The fourth proportional to 30,481.38, 45,715.14 and 14,678.35 is: 22,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,481.38 : 45,715.14 = 14,678.35 : x
  2. Step 2: Convert to fraction form
    30,481.38/45,715.14 = 14,678.35/x
  3. Step 3: Cross multiply
    30,481.38x = 45,715.14 × 14,678.35
  4. Step 4: Simplify right side
    30,481.38x = 671,022,710.93
  5. Step 5: Solve for x
    x = 671,022,710.93/30,481.38
  6. Step 6: Final answer
    x = 22,014.18

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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.