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Finding the Fourth Proportional to 37,880.88, 52,277.40 and 21,114

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Solution

The fourth proportional to 37,880.88, 52,277.40 and 21,114 is: 29,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,880.88 : 52,277.40 = 21,114 : x
  2. Step 2: Convert to fraction form
    37,880.88/52,277.40 = 21,114/x
  3. Step 3: Cross multiply
    37,880.88x = 52,277.40 × 21,114
  4. Step 4: Simplify right side
    37,880.88x = 1,103,785,023.60
  5. Step 5: Solve for x
    x = 1,103,785,023.60/37,880.88
  6. Step 6: Final answer
    x = 29,138.32

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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.