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Finding the Fourth Proportional to 70,706.42, 97,553.26 and 46,500.48

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Solution

The fourth proportional to 70,706.42, 97,553.26 and 46,500.48 is: 64,156.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,706.42 : 97,553.26 = 46,500.48 : x
  2. Step 2: Convert to fraction form
    70,706.42/97,553.26 = 46,500.48/x
  3. Step 3: Cross multiply
    70,706.42x = 97,553.26 × 46,500.48
  4. Step 4: Simplify right side
    70,706.42x = 4,536,273,473.69
  5. Step 5: Solve for x
    x = 4,536,273,473.69/70,706.42
  6. Step 6: Final answer
    x = 64,156.46

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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.