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Finding the Fourth Proportional to 31,485.60, 47,224.26 and 9,301.32

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Solution

The fourth proportional to 31,485.60, 47,224.26 and 9,301.32 is: 13,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,485.60 : 47,224.26 = 9,301.32 : x
  2. Step 2: Convert to fraction form
    31,485.60/47,224.26 = 9,301.32/x
  3. Step 3: Cross multiply
    31,485.60x = 47,224.26 × 9,301.32
  4. Step 4: Simplify right side
    31,485.60x = 439,247,954.02
  5. Step 5: Solve for x
    x = 439,247,954.02/31,485.60
  6. Step 6: Final answer
    x = 13,950.76

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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.