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Finding the Fourth Proportional to 38,421.90, 53,022.46 and 21,427.22

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Solution

The fourth proportional to 38,421.90, 53,022.46 and 21,427.22 is: 29,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421.90 : 53,022.46 = 21,427.22 : x
  2. Step 2: Convert to fraction form
    38,421.90/53,022.46 = 21,427.22/x
  3. Step 3: Cross multiply
    38,421.90x = 53,022.46 × 21,427.22
  4. Step 4: Simplify right side
    38,421.90x = 1,136,123,915.36
  5. Step 5: Solve for x
    x = 1,136,123,915.36/38,421.90
  6. Step 6: Final answer
    x = 29,569.70

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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.