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Finding the Fourth Proportional to 30,232.96, 45,332 and 11,743.36

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Solution

The fourth proportional to 30,232.96, 45,332 and 11,743.36 is: 17,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232.96 : 45,332 = 11,743.36 : x
  2. Step 2: Convert to fraction form
    30,232.96/45,332 = 11,743.36/x
  3. Step 3: Cross multiply
    30,232.96x = 45,332 × 11,743.36
  4. Step 4: Simplify right side
    30,232.96x = 532,349,995.52
  5. Step 5: Solve for x
    x = 532,349,995.52/30,232.96
  6. Step 6: Final answer
    x = 17,608.27

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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.