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Finding the Fourth Proportional to 38,422.66, 53,021.62 and 28,347.48

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Solution

The fourth proportional to 38,422.66, 53,021.62 and 28,347.48 is: 39,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.66 : 53,021.62 = 28,347.48 : x
  2. Step 2: Convert to fraction form
    38,422.66/53,021.62 = 28,347.48/x
  3. Step 3: Cross multiply
    38,422.66x = 53,021.62 × 28,347.48
  4. Step 4: Simplify right side
    38,422.66x = 1,503,029,312.52
  5. Step 5: Solve for x
    x = 1,503,029,312.52/38,422.66
  6. Step 6: Final answer
    x = 39,118.30

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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.