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Finding the Fourth Proportional to 30,192.96, 45,272 and 11,703.36

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Solution

The fourth proportional to 30,192.96, 45,272 and 11,703.36 is: 17,548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,192.96 : 45,272 = 11,703.36 : x
  2. Step 2: Convert to fraction form
    30,192.96/45,272 = 11,703.36/x
  3. Step 3: Cross multiply
    30,192.96x = 45,272 × 11,703.36
  4. Step 4: Simplify right side
    30,192.96x = 529,834,513.92
  5. Step 5: Solve for x
    x = 529,834,513.92/30,192.96
  6. Step 6: Final answer
    x = 17,548.28

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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.