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Finding the Fourth Proportional to 20,031.48, 30,078.47 and 19,144.19

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Solution

The fourth proportional to 20,031.48, 30,078.47 and 19,144.19 is: 28,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.48 : 30,078.47 = 19,144.19 : x
  2. Step 2: Convert to fraction form
    20,031.48/30,078.47 = 19,144.19/x
  3. Step 3: Cross multiply
    20,031.48x = 30,078.47 × 19,144.19
  4. Step 4: Simplify right side
    20,031.48x = 575,828,067.65
  5. Step 5: Solve for x
    x = 575,828,067.65/20,031.48
  6. Step 6: Final answer
    x = 28,746.16

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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.