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Finding the Fourth Proportional to 32,641, 45,048.42 and 19,393

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Solution

The fourth proportional to 32,641, 45,048.42 and 19,393 is: 26,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641 : 45,048.42 = 19,393 : x
  2. Step 2: Convert to fraction form
    32,641/45,048.42 = 19,393/x
  3. Step 3: Cross multiply
    32,641x = 45,048.42 × 19,393
  4. Step 4: Simplify right side
    32,641x = 873,624,009.06
  5. Step 5: Solve for x
    x = 873,624,009.06/32,641
  6. Step 6: Final answer
    x = 26,764.62

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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.