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Finding the Fourth Proportional to 38,004.60, 57,006.90 and 31,006.20

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Solution

The fourth proportional to 38,004.60, 57,006.90 and 31,006.20 is: 46,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,004.60 : 57,006.90 = 31,006.20 : x
  2. Step 2: Convert to fraction form
    38,004.60/57,006.90 = 31,006.20/x
  3. Step 3: Cross multiply
    38,004.60x = 57,006.90 × 31,006.20
  4. Step 4: Simplify right side
    38,004.60x = 1,767,567,342.78
  5. Step 5: Solve for x
    x = 1,767,567,342.78/38,004.60
  6. Step 6: Final answer
    x = 46,509.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.