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Finding the Fourth Proportional to 38,423.53, 53,024.70 and 21,428.85

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Solution

The fourth proportional to 38,423.53, 53,024.70 and 21,428.85 is: 29,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423.53 : 53,024.70 = 21,428.85 : x
  2. Step 2: Convert to fraction form
    38,423.53/53,024.70 = 21,428.85/x
  3. Step 3: Cross multiply
    38,423.53x = 53,024.70 × 21,428.85
  4. Step 4: Simplify right side
    38,423.53x = 1,136,258,342.60
  5. Step 5: Solve for x
    x = 1,136,258,342.60/38,423.53
  6. Step 6: Final answer
    x = 29,571.94

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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.