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Finding the Fourth Proportional to 38,497.21, 53,141.16 and 23,392.33

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Solution

The fourth proportional to 38,497.21, 53,141.16 and 23,392.33 is: 32,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.21 : 53,141.16 = 23,392.33 : x
  2. Step 2: Convert to fraction form
    38,497.21/53,141.16 = 23,392.33/x
  3. Step 3: Cross multiply
    38,497.21x = 53,141.16 × 23,392.33
  4. Step 4: Simplify right side
    38,497.21x = 1,243,095,506.17
  5. Step 5: Solve for x
    x = 1,243,095,506.17/38,497.21
  6. Step 6: Final answer
    x = 32,290.54

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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.