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Finding the Fourth Proportional to 38,496.30, 53,141.10 and 23,393.82

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Solution

The fourth proportional to 38,496.30, 53,141.10 and 23,393.82 is: 32,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496.30 : 53,141.10 = 23,393.82 : x
  2. Step 2: Convert to fraction form
    38,496.30/53,141.10 = 23,393.82/x
  3. Step 3: Cross multiply
    38,496.30x = 53,141.10 × 23,393.82
  4. Step 4: Simplify right side
    38,496.30x = 1,243,173,328.00
  5. Step 5: Solve for x
    x = 1,243,173,328.00/38,496.30
  6. Step 6: Final answer
    x = 32,293.32

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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.