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Finding the Fourth Proportional to 38,507.27, 53,134.38 and 21,509.42

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Solution

The fourth proportional to 38,507.27, 53,134.38 and 21,509.42 is: 29,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,507.27 : 53,134.38 = 21,509.42 : x
  2. Step 2: Convert to fraction form
    38,507.27/53,134.38 = 21,509.42/x
  3. Step 3: Cross multiply
    38,507.27x = 53,134.38 × 21,509.42
  4. Step 4: Simplify right side
    38,507.27x = 1,142,889,430.19
  5. Step 5: Solve for x
    x = 1,142,889,430.19/38,507.27
  6. Step 6: Final answer
    x = 29,679.84

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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.