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Finding the Fourth Proportional to 38,134.84, 52,613.44 and 23,021.72

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Solution

The fourth proportional to 38,134.84, 52,613.44 and 23,021.72 is: 31,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,134.84 : 52,613.44 = 23,021.72 : x
  2. Step 2: Convert to fraction form
    38,134.84/52,613.44 = 23,021.72/x
  3. Step 3: Cross multiply
    38,134.84x = 52,613.44 × 23,021.72
  4. Step 4: Simplify right side
    38,134.84x = 1,211,251,883.92
  5. Step 5: Solve for x
    x = 1,211,251,883.92/38,134.84
  6. Step 6: Final answer
    x = 31,762.34

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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.