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Finding the Fourth Proportional to 38,446.30, 53,028.03 and 24,094.72

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Solution

The fourth proportional to 38,446.30, 53,028.03 and 24,094.72 is: 33,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,446.30 : 53,028.03 = 24,094.72 : x
  2. Step 2: Convert to fraction form
    38,446.30/53,028.03 = 24,094.72/x
  3. Step 3: Cross multiply
    38,446.30x = 53,028.03 × 24,094.72
  4. Step 4: Simplify right side
    38,446.30x = 1,277,695,535.00
  5. Step 5: Solve for x
    x = 1,277,695,535.00/38,446.30
  6. Step 6: Final answer
    x = 33,233.25

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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.