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Finding the Fourth Proportional to 47,792, 65,954.64 and 26,283.36

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Solution

The fourth proportional to 47,792, 65,954.64 and 26,283.36 is: 36,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,792 : 65,954.64 = 26,283.36 : x
  2. Step 2: Convert to fraction form
    47,792/65,954.64 = 26,283.36/x
  3. Step 3: Cross multiply
    47,792x = 65,954.64 × 26,283.36
  4. Step 4: Simplify right side
    47,792x = 1,733,509,546.79
  5. Step 5: Solve for x
    x = 1,733,509,546.79/47,792
  6. Step 6: Final answer
    x = 36,271.96

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Why These Related Problems?

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