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Finding the Fourth Proportional to 40,820.98, 56,333.16 and 22,916.20

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Solution

The fourth proportional to 40,820.98, 56,333.16 and 22,916.20 is: 31,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,820.98 : 56,333.16 = 22,916.20 : x
  2. Step 2: Convert to fraction form
    40,820.98/56,333.16 = 22,916.20/x
  3. Step 3: Cross multiply
    40,820.98x = 56,333.16 × 22,916.20
  4. Step 4: Simplify right side
    40,820.98x = 1,290,941,961.19
  5. Step 5: Solve for x
    x = 1,290,941,961.19/40,820.98
  6. Step 6: Final answer
    x = 31,624.47

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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.