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Finding the Fourth Proportional to 38,769.40, 53,507.64 and 23,670.84

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Solution

The fourth proportional to 38,769.40, 53,507.64 and 23,670.84 is: 32,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,769.40 : 53,507.64 = 23,670.84 : x
  2. Step 2: Convert to fraction form
    38,769.40/53,507.64 = 23,670.84/x
  3. Step 3: Cross multiply
    38,769.40x = 53,507.64 × 23,670.84
  4. Step 4: Simplify right side
    38,769.40x = 1,266,570,785.22
  5. Step 5: Solve for x
    x = 1,266,570,785.22/38,769.40
  6. Step 6: Final answer
    x = 32,669.34

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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.