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Finding the Fourth Proportional to 47,696.84, 65,821.89 and 29,802.22

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Solution

The fourth proportional to 47,696.84, 65,821.89 and 29,802.22 is: 41,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,696.84 : 65,821.89 = 29,802.22 : x
  2. Step 2: Convert to fraction form
    47,696.84/65,821.89 = 29,802.22/x
  3. Step 3: Cross multiply
    47,696.84x = 65,821.89 × 29,802.22
  4. Step 4: Simplify right side
    47,696.84x = 1,961,638,446.60
  5. Step 5: Solve for x
    x = 1,961,638,446.60/47,696.84
  6. Step 6: Final answer
    x = 41,127.22

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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.