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Finding the Fourth Proportional to 33,188.72, 45,803.76 and 19,046

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Solution

The fourth proportional to 33,188.72, 45,803.76 and 19,046 is: 26,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,188.72 : 45,803.76 = 19,046 : x
  2. Step 2: Convert to fraction form
    33,188.72/45,803.76 = 19,046/x
  3. Step 3: Cross multiply
    33,188.72x = 45,803.76 × 19,046
  4. Step 4: Simplify right side
    33,188.72x = 872,378,412.96
  5. Step 5: Solve for x
    x = 872,378,412.96/33,188.72
  6. Step 6: Final answer
    x = 26,285.39

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Why These Related Problems?

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