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Finding the Fourth Proportional to 41,421.60, 57,122.24 and 27,840.32

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Solution

The fourth proportional to 41,421.60, 57,122.24 and 27,840.32 is: 38,393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,421.60 : 57,122.24 = 27,840.32 : x
  2. Step 2: Convert to fraction form
    41,421.60/57,122.24 = 27,840.32/x
  3. Step 3: Cross multiply
    41,421.60x = 57,122.24 × 27,840.32
  4. Step 4: Simplify right side
    41,421.60x = 1,590,301,440.72
  5. Step 5: Solve for x
    x = 1,590,301,440.72/41,421.60
  6. Step 6: Final answer
    x = 38,393.05

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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.