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Finding the Fourth Proportional to 30,097.52, 41,512.20 and 19,478.96

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Solution

The fourth proportional to 30,097.52, 41,512.20 and 19,478.96 is: 26,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097.52 : 41,512.20 = 19,478.96 : x
  2. Step 2: Convert to fraction form
    30,097.52/41,512.20 = 19,478.96/x
  3. Step 3: Cross multiply
    30,097.52x = 41,512.20 × 19,478.96
  4. Step 4: Simplify right side
    30,097.52x = 808,614,483.31
  5. Step 5: Solve for x
    x = 808,614,483.31/30,097.52
  6. Step 6: Final answer
    x = 26,866.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.