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Finding the Fourth Proportional to 38,606.76, 53,268.14 and 23,499.24

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Solution

The fourth proportional to 38,606.76, 53,268.14 and 23,499.24 is: 32,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,606.76 : 53,268.14 = 23,499.24 : x
  2. Step 2: Convert to fraction form
    38,606.76/53,268.14 = 23,499.24/x
  3. Step 3: Cross multiply
    38,606.76x = 53,268.14 × 23,499.24
  4. Step 4: Simplify right side
    38,606.76x = 1,251,760,806.21
  5. Step 5: Solve for x
    x = 1,251,760,806.21/38,606.76
  6. Step 6: Final answer
    x = 32,423.36

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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.