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Finding the Fourth Proportional to 29,558.48, 40,778.40 and 18,374

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Solution

The fourth proportional to 29,558.48, 40,778.40 and 18,374 is: 25,348.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,558.48 : 40,778.40 = 18,374 : x
  2. Step 2: Convert to fraction form
    29,558.48/40,778.40 = 18,374/x
  3. Step 3: Cross multiply
    29,558.48x = 40,778.40 × 18,374
  4. Step 4: Simplify right side
    29,558.48x = 749,262,321.60
  5. Step 5: Solve for x
    x = 749,262,321.60/29,558.48
  6. Step 6: Final answer
    x = 25,348.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.