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Finding the Fourth Proportional to 38,427.84, 53,028 and 21,434.58

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Solution

The fourth proportional to 38,427.84, 53,028 and 21,434.58 is: 29,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,427.84 : 53,028 = 21,434.58 : x
  2. Step 2: Convert to fraction form
    38,427.84/53,028 = 21,434.58/x
  3. Step 3: Cross multiply
    38,427.84x = 53,028 × 21,434.58
  4. Step 4: Simplify right side
    38,427.84x = 1,136,632,908.24
  5. Step 5: Solve for x
    x = 1,136,632,908.24/38,427.84
  6. Step 6: Final answer
    x = 29,578.37

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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.