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Finding the Fourth Proportional to 38,190, 52,702.56 and 21,423.36

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Solution

The fourth proportional to 38,190, 52,702.56 and 21,423.36 is: 29,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,190 : 52,702.56 = 21,423.36 : x
  2. Step 2: Convert to fraction form
    38,190/52,702.56 = 21,423.36/x
  3. Step 3: Cross multiply
    38,190x = 52,702.56 × 21,423.36
  4. Step 4: Simplify right side
    38,190x = 1,129,065,915.80
  5. Step 5: Solve for x
    x = 1,129,065,915.80/38,190
  6. Step 6: Final answer
    x = 29,564.44

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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.