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Finding the Fourth Proportional to 40,808.16, 56,315.64 and 26,661

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Solution

The fourth proportional to 40,808.16, 56,315.64 and 26,661 is: 36,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,808.16 : 56,315.64 = 26,661 : x
  2. Step 2: Convert to fraction form
    40,808.16/56,315.64 = 26,661/x
  3. Step 3: Cross multiply
    40,808.16x = 56,315.64 × 26,661
  4. Step 4: Simplify right side
    40,808.16x = 1,501,431,278.04
  5. Step 5: Solve for x
    x = 1,501,431,278.04/40,808.16
  6. Step 6: Final answer
    x = 36,792.43

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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.