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Finding the Fourth Proportional to 38,618, 53,292.84 and 20,954

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Solution

The fourth proportional to 38,618, 53,292.84 and 20,954 is: 28,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,618 : 53,292.84 = 20,954 : x
  2. Step 2: Convert to fraction form
    38,618/53,292.84 = 20,954/x
  3. Step 3: Cross multiply
    38,618x = 53,292.84 × 20,954
  4. Step 4: Simplify right side
    38,618x = 1,116,698,169.36
  5. Step 5: Solve for x
    x = 1,116,698,169.36/38,618
  6. Step 6: Final answer
    x = 28,916.52

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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.