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Finding the Fourth Proportional to 30,412.92, 45,622.09 and 10,691.65

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Solution

The fourth proportional to 30,412.92, 45,622.09 and 10,691.65 is: 16,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.92 : 45,622.09 = 10,691.65 : x
  2. Step 2: Convert to fraction form
    30,412.92/45,622.09 = 10,691.65/x
  3. Step 3: Cross multiply
    30,412.92x = 45,622.09 × 10,691.65
  4. Step 4: Simplify right side
    30,412.92x = 487,775,172.18
  5. Step 5: Solve for x
    x = 487,775,172.18/30,412.92
  6. Step 6: Final answer
    x = 16,038.42

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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.