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Finding the Fourth Proportional to 38,456.64, 53,072.16 and 22,546.20

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Solution

The fourth proportional to 38,456.64, 53,072.16 and 22,546.20 is: 31,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,456.64 : 53,072.16 = 22,546.20 : x
  2. Step 2: Convert to fraction form
    38,456.64/53,072.16 = 22,546.20/x
  3. Step 3: Cross multiply
    38,456.64x = 53,072.16 × 22,546.20
  4. Step 4: Simplify right side
    38,456.64x = 1,196,575,533.79
  5. Step 5: Solve for x
    x = 1,196,575,533.79/38,456.64
  6. Step 6: Final answer
    x = 31,114.93

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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.