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Finding the Fourth Proportional to 32,851.40, 49,280.70 and 31,814.60

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Solution

The fourth proportional to 32,851.40, 49,280.70 and 31,814.60 is: 47,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,851.40 : 49,280.70 = 31,814.60 : x
  2. Step 2: Convert to fraction form
    32,851.40/49,280.70 = 31,814.60/x
  3. Step 3: Cross multiply
    32,851.40x = 49,280.70 × 31,814.60
  4. Step 4: Simplify right side
    32,851.40x = 1,567,845,758.22
  5. Step 5: Solve for x
    x = 1,567,845,758.22/32,851.40
  6. Step 6: Final answer
    x = 47,725.39

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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.