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Finding the Fourth Proportional to 40,824.65, 56,334.16 and 22,916.17

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Solution

The fourth proportional to 40,824.65, 56,334.16 and 22,916.17 is: 31,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,824.65 : 56,334.16 = 22,916.17 : x
  2. Step 2: Convert to fraction form
    40,824.65/56,334.16 = 22,916.17/x
  3. Step 3: Cross multiply
    40,824.65x = 56,334.16 × 22,916.17
  4. Step 4: Simplify right side
    40,824.65x = 1,290,963,187.37
  5. Step 5: Solve for x
    x = 1,290,963,187.37/40,824.65
  6. Step 6: Final answer
    x = 31,622.15

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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.