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Finding the Fourth Proportional to 30,196.92, 45,303.20 and 11,477.28

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Solution

The fourth proportional to 30,196.92, 45,303.20 and 11,477.28 is: 17,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,196.92 : 45,303.20 = 11,477.28 : x
  2. Step 2: Convert to fraction form
    30,196.92/45,303.20 = 11,477.28/x
  3. Step 3: Cross multiply
    30,196.92x = 45,303.20 × 11,477.28
  4. Step 4: Simplify right side
    30,196.92x = 519,957,453.91
  5. Step 5: Solve for x
    x = 519,957,453.91/30,196.92
  6. Step 6: Final answer
    x = 17,218.89

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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.