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Finding the Fourth Proportional to 32,941.40, 49,415.70 and 31,904.60

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Solution

The fourth proportional to 32,941.40, 49,415.70 and 31,904.60 is: 47,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,941.40 : 49,415.70 = 31,904.60 : x
  2. Step 2: Convert to fraction form
    32,941.40/49,415.70 = 31,904.60/x
  3. Step 3: Cross multiply
    32,941.40x = 49,415.70 × 31,904.60
  4. Step 4: Simplify right side
    32,941.40x = 1,576,588,142.22
  5. Step 5: Solve for x
    x = 1,576,588,142.22/32,941.40
  6. Step 6: Final answer
    x = 47,860.39

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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.