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Finding the Fourth Proportional to 41,977.02, 57,928.02 and 23,114

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Solution

The fourth proportional to 41,977.02, 57,928.02 and 23,114 is: 31,897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,977.02 : 57,928.02 = 23,114 : x
  2. Step 2: Convert to fraction form
    41,977.02/57,928.02 = 23,114/x
  3. Step 3: Cross multiply
    41,977.02x = 57,928.02 × 23,114
  4. Step 4: Simplify right side
    41,977.02x = 1,338,948,254.28
  5. Step 5: Solve for x
    x = 1,338,948,254.28/41,977.02
  6. Step 6: Final answer
    x = 31,897.17

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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.