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Finding the Fourth Proportional to 41,866.88, 57,777.30 and 23,004

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Solution

The fourth proportional to 41,866.88, 57,777.30 and 23,004 is: 31,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,866.88 : 57,777.30 = 23,004 : x
  2. Step 2: Convert to fraction form
    41,866.88/57,777.30 = 23,004/x
  3. Step 3: Cross multiply
    41,866.88x = 57,777.30 × 23,004
  4. Step 4: Simplify right side
    41,866.88x = 1,329,109,009.20
  5. Step 5: Solve for x
    x = 1,329,109,009.20/41,866.88
  6. Step 6: Final answer
    x = 31,746.08

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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.