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Finding the Fourth Proportional to 42,005.51, 57,967.42 and 22,885.22

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Solution

The fourth proportional to 42,005.51, 57,967.42 and 22,885.22 is: 31,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,005.51 : 57,967.42 = 22,885.22 : x
  2. Step 2: Convert to fraction form
    42,005.51/57,967.42 = 22,885.22/x
  3. Step 3: Cross multiply
    42,005.51x = 57,967.42 × 22,885.22
  4. Step 4: Simplify right side
    42,005.51x = 1,326,597,247.24
  5. Step 5: Solve for x
    x = 1,326,597,247.24/42,005.51
  6. Step 6: Final answer
    x = 31,581.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.