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Finding the Fourth Proportional to 38,423.88, 53,021.16 and 28,357.74

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Solution

The fourth proportional to 38,423.88, 53,021.16 and 28,357.74 is: 39,130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423.88 : 53,021.16 = 28,357.74 : x
  2. Step 2: Convert to fraction form
    38,423.88/53,021.16 = 28,357.74/x
  3. Step 3: Cross multiply
    38,423.88x = 53,021.16 × 28,357.74
  4. Step 4: Simplify right side
    38,423.88x = 1,503,560,269.78
  5. Step 5: Solve for x
    x = 1,503,560,269.78/38,423.88
  6. Step 6: Final answer
    x = 39,130.88

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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.