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Finding the Fourth Proportional to 31,671.54, 47,495.37 and 12,941.58

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Solution

The fourth proportional to 31,671.54, 47,495.37 and 12,941.58 is: 19,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,671.54 : 47,495.37 = 12,941.58 : x
  2. Step 2: Convert to fraction form
    31,671.54/47,495.37 = 12,941.58/x
  3. Step 3: Cross multiply
    31,671.54x = 47,495.37 × 12,941.58
  4. Step 4: Simplify right side
    31,671.54x = 614,665,130.48
  5. Step 5: Solve for x
    x = 614,665,130.48/31,671.54
  6. Step 6: Final answer
    x = 19,407.49

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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.