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Finding the Fourth Proportional to 38,650.60, 58,239.16 and 31,784.41

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Solution

The fourth proportional to 38,650.60, 58,239.16 and 31,784.41 is: 47,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,650.60 : 58,239.16 = 31,784.41 : x
  2. Step 2: Convert to fraction form
    38,650.60/58,239.16 = 31,784.41/x
  3. Step 3: Cross multiply
    38,650.60x = 58,239.16 × 31,784.41
  4. Step 4: Simplify right side
    38,650.60x = 1,851,097,339.50
  5. Step 5: Solve for x
    x = 1,851,097,339.50/38,650.60
  6. Step 6: Final answer
    x = 47,893.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.