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Finding the Fourth Proportional to 45,544.72, 68,345.88 and 17,842

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Solution

The fourth proportional to 45,544.72, 68,345.88 and 17,842 is: 26,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,544.72 : 68,345.88 = 17,842 : x
  2. Step 2: Convert to fraction form
    45,544.72/68,345.88 = 17,842/x
  3. Step 3: Cross multiply
    45,544.72x = 68,345.88 × 17,842
  4. Step 4: Simplify right side
    45,544.72x = 1,219,427,190.96
  5. Step 5: Solve for x
    x = 1,219,427,190.96/45,544.72
  6. Step 6: Final answer
    x = 26,774.28

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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.