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Finding the Fourth Proportional to 38,464.84, 53,081.52 and 21,237.24

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Solution

The fourth proportional to 38,464.84, 53,081.52 and 21,237.24 is: 29,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.84 : 53,081.52 = 21,237.24 : x
  2. Step 2: Convert to fraction form
    38,464.84/53,081.52 = 21,237.24/x
  3. Step 3: Cross multiply
    38,464.84x = 53,081.52 × 21,237.24
  4. Step 4: Simplify right side
    38,464.84x = 1,127,304,979.80
  5. Step 5: Solve for x
    x = 1,127,304,979.80/38,464.84
  6. Step 6: Final answer
    x = 29,307.41

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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.