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Finding the Fourth Proportional to 41,283, 56,983.50 and 26,379

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Solution

The fourth proportional to 41,283, 56,983.50 and 26,379 is: 36,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,283 : 56,983.50 = 26,379 : x
  2. Step 2: Convert to fraction form
    41,283/56,983.50 = 26,379/x
  3. Step 3: Cross multiply
    41,283x = 56,983.50 × 26,379
  4. Step 4: Simplify right side
    41,283x = 1,503,167,746.50
  5. Step 5: Solve for x
    x = 1,503,167,746.50/41,283
  6. Step 6: Final answer
    x = 36,411.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.