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Finding the Fourth Proportional to 56,048.96, 84,073.44 and 19,112

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Solution

The fourth proportional to 56,048.96, 84,073.44 and 19,112 is: 28,668

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,048.96 : 84,073.44 = 19,112 : x
  2. Step 2: Convert to fraction form
    56,048.96/84,073.44 = 19,112/x
  3. Step 3: Cross multiply
    56,048.96x = 84,073.44 × 19,112
  4. Step 4: Simplify right side
    56,048.96x = 1,606,811,585.28
  5. Step 5: Solve for x
    x = 1,606,811,585.28/56,048.96
  6. Step 6: Final answer
    x = 28,668

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.