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Finding the Fourth Proportional to 38,494.38, 53,127.52 and 21,499.67

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Solution

The fourth proportional to 38,494.38, 53,127.52 and 21,499.67 is: 29,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494.38 : 53,127.52 = 21,499.67 : x
  2. Step 2: Convert to fraction form
    38,494.38/53,127.52 = 21,499.67/x
  3. Step 3: Cross multiply
    38,494.38x = 53,127.52 × 21,499.67
  4. Step 4: Simplify right side
    38,494.38x = 1,142,224,094.17
  5. Step 5: Solve for x
    x = 1,142,224,094.17/38,494.38
  6. Step 6: Final answer
    x = 29,672.49

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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.