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Finding the Fourth Proportional to 38,805.36, 53,551.08 and 22,038

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Solution

The fourth proportional to 38,805.36, 53,551.08 and 22,038 is: 30,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,805.36 : 53,551.08 = 22,038 : x
  2. Step 2: Convert to fraction form
    38,805.36/53,551.08 = 22,038/x
  3. Step 3: Cross multiply
    38,805.36x = 53,551.08 × 22,038
  4. Step 4: Simplify right side
    38,805.36x = 1,180,158,701.04
  5. Step 5: Solve for x
    x = 1,180,158,701.04/38,805.36
  6. Step 6: Final answer
    x = 30,412.26

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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.