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Finding the Fourth Proportional to 38,430.82, 53,034.40 and 21,435.09

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Solution

The fourth proportional to 38,430.82, 53,034.40 and 21,435.09 is: 29,580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,430.82 : 53,034.40 = 21,435.09 : x
  2. Step 2: Convert to fraction form
    38,430.82/53,034.40 = 21,435.09/x
  3. Step 3: Cross multiply
    38,430.82x = 53,034.40 × 21,435.09
  4. Step 4: Simplify right side
    38,430.82x = 1,136,797,137.10
  5. Step 5: Solve for x
    x = 1,136,797,137.10/38,430.82
  6. Step 6: Final answer
    x = 29,580.35

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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.