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Finding the Fourth Proportional to 34,696, 47,880.48 and 19,792

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Solution

The fourth proportional to 34,696, 47,880.48 and 19,792 is: 27,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,696 : 47,880.48 = 19,792 : x
  2. Step 2: Convert to fraction form
    34,696/47,880.48 = 19,792/x
  3. Step 3: Cross multiply
    34,696x = 47,880.48 × 19,792
  4. Step 4: Simplify right side
    34,696x = 947,650,460.16
  5. Step 5: Solve for x
    x = 947,650,460.16/34,696
  6. Step 6: Final answer
    x = 27,312.96

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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.