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Finding the Fourth Proportional to 38,136.40, 57,150.03 and 21,461.47

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Solution

The fourth proportional to 38,136.40, 57,150.03 and 21,461.47 is: 32,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,136.40 : 57,150.03 = 21,461.47 : x
  2. Step 2: Convert to fraction form
    38,136.40/57,150.03 = 21,461.47/x
  3. Step 3: Cross multiply
    38,136.40x = 57,150.03 × 21,461.47
  4. Step 4: Simplify right side
    38,136.40x = 1,226,523,654.34
  5. Step 5: Solve for x
    x = 1,226,523,654.34/38,136.40
  6. Step 6: Final answer
    x = 32,161.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.