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Finding the Fourth Proportional to 31,497.84, 47,258.24 and 14,638.64

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Solution

The fourth proportional to 31,497.84, 47,258.24 and 14,638.64 is: 21,963.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.84 : 47,258.24 = 14,638.64 : x
  2. Step 2: Convert to fraction form
    31,497.84/47,258.24 = 14,638.64/x
  3. Step 3: Cross multiply
    31,497.84x = 47,258.24 × 14,638.64
  4. Step 4: Simplify right side
    31,497.84x = 691,796,052.91
  5. Step 5: Solve for x
    x = 691,796,052.91/31,497.84
  6. Step 6: Final answer
    x = 21,963.29

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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.