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Finding the Fourth Proportional to 37,682, 56,533.08 and 13,058

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Solution

The fourth proportional to 37,682, 56,533.08 and 13,058 is: 19,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,682 : 56,533.08 = 13,058 : x
  2. Step 2: Convert to fraction form
    37,682/56,533.08 = 13,058/x
  3. Step 3: Cross multiply
    37,682x = 56,533.08 × 13,058
  4. Step 4: Simplify right side
    37,682x = 738,208,958.64
  5. Step 5: Solve for x
    x = 738,208,958.64/37,682
  6. Step 6: Final answer
    x = 19,590.49

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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.