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Finding the Fourth Proportional to 42,018, 57,986.04 and 23,156.34

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Solution

The fourth proportional to 42,018, 57,986.04 and 23,156.34 is: 31,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,018 : 57,986.04 = 23,156.34 : x
  2. Step 2: Convert to fraction form
    42,018/57,986.04 = 23,156.34/x
  3. Step 3: Cross multiply
    42,018x = 57,986.04 × 23,156.34
  4. Step 4: Simplify right side
    42,018x = 1,342,744,457.49
  5. Step 5: Solve for x
    x = 1,342,744,457.49/42,018
  6. Step 6: Final answer
    x = 31,956.41

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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.