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Finding the Fourth Proportional to 40,767.10, 56,254.70 and 22,858

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Solution

The fourth proportional to 40,767.10, 56,254.70 and 22,858 is: 31,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,767.10 : 56,254.70 = 22,858 : x
  2. Step 2: Convert to fraction form
    40,767.10/56,254.70 = 22,858/x
  3. Step 3: Cross multiply
    40,767.10x = 56,254.70 × 22,858
  4. Step 4: Simplify right side
    40,767.10x = 1,285,869,932.60
  5. Step 5: Solve for x
    x = 1,285,869,932.60/40,767.10
  6. Step 6: Final answer
    x = 31,541.85

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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.