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Finding the Fourth Proportional to 65,696.34, 98,184.49 and 47,964.34

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Solution

The fourth proportional to 65,696.34, 98,184.49 and 47,964.34 is: 71,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,696.34 : 98,184.49 = 47,964.34 : x
  2. Step 2: Convert to fraction form
    65,696.34/98,184.49 = 47,964.34/x
  3. Step 3: Cross multiply
    65,696.34x = 98,184.49 × 47,964.34
  4. Step 4: Simplify right side
    65,696.34x = 4,709,354,261.09
  5. Step 5: Solve for x
    x = 4,709,354,261.09/65,696.34
  6. Step 6: Final answer
    x = 71,683.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.