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Finding the Fourth Proportional to 71,024.94, 97,977.51 and 57,611.34

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Solution

The fourth proportional to 71,024.94, 97,977.51 and 57,611.34 is: 79,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,024.94 : 97,977.51 = 57,611.34 : x
  2. Step 2: Convert to fraction form
    71,024.94/97,977.51 = 57,611.34/x
  3. Step 3: Cross multiply
    71,024.94x = 97,977.51 × 57,611.34
  4. Step 4: Simplify right side
    71,024.94x = 5,644,615,640.96
  5. Step 5: Solve for x
    x = 5,644,615,640.96/71,024.94
  6. Step 6: Final answer
    x = 79,473.71

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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.