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Finding the Fourth Proportional to 70,706.52, 97,569.19 and 41,630.27

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Solution

The fourth proportional to 70,706.52, 97,569.19 and 41,630.27 is: 57,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,706.52 : 97,569.19 = 41,630.27 : x
  2. Step 2: Convert to fraction form
    70,706.52/97,569.19 = 41,630.27/x
  3. Step 3: Cross multiply
    70,706.52x = 97,569.19 × 41,630.27
  4. Step 4: Simplify right side
    70,706.52x = 4,061,831,027.38
  5. Step 5: Solve for x
    x = 4,061,831,027.38/70,706.52
  6. Step 6: Final answer
    x = 57,446.34

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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.