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Finding the Fourth Proportional to 41,076, 56,690.72 and 23,172.66

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Solution

The fourth proportional to 41,076, 56,690.72 and 23,172.66 is: 31,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,076 : 56,690.72 = 23,172.66 : x
  2. Step 2: Convert to fraction form
    41,076/56,690.72 = 23,172.66/x
  3. Step 3: Cross multiply
    41,076x = 56,690.72 × 23,172.66
  4. Step 4: Simplify right side
    41,076x = 1,313,674,779.72
  5. Step 5: Solve for x
    x = 1,313,674,779.72/41,076
  6. Step 6: Final answer
    x = 31,981.57

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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.