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Finding the Fourth Proportional to 38,466.19, 53,083.15 and 21,469.46

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Solution

The fourth proportional to 38,466.19, 53,083.15 and 21,469.46 is: 29,627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466.19 : 53,083.15 = 21,469.46 : x
  2. Step 2: Convert to fraction form
    38,466.19/53,083.15 = 21,469.46/x
  3. Step 3: Cross multiply
    38,466.19x = 53,083.15 × 21,469.46
  4. Step 4: Simplify right side
    38,466.19x = 1,139,666,246.51
  5. Step 5: Solve for x
    x = 1,139,666,246.51/38,466.19
  6. Step 6: Final answer
    x = 29,627.74

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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.