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Finding the Fourth Proportional to 40,796.70, 56,300.32 and 22,893

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Solution

The fourth proportional to 40,796.70, 56,300.32 and 22,893 is: 31,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,796.70 : 56,300.32 = 22,893 : x
  2. Step 2: Convert to fraction form
    40,796.70/56,300.32 = 22,893/x
  3. Step 3: Cross multiply
    40,796.70x = 56,300.32 × 22,893
  4. Step 4: Simplify right side
    40,796.70x = 1,288,883,225.76
  5. Step 5: Solve for x
    x = 1,288,883,225.76/40,796.70
  6. Step 6: Final answer
    x = 31,592.83

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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.