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Finding the Fourth Proportional to 29,463.54, 40,674.75 and 22,734.06

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Solution

The fourth proportional to 29,463.54, 40,674.75 and 22,734.06 is: 31,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,463.54 : 40,674.75 = 22,734.06 : x
  2. Step 2: Convert to fraction form
    29,463.54/40,674.75 = 22,734.06/x
  3. Step 3: Cross multiply
    29,463.54x = 40,674.75 × 22,734.06
  4. Step 4: Simplify right side
    29,463.54x = 924,702,206.99
  5. Step 5: Solve for x
    x = 924,702,206.99/29,463.54
  6. Step 6: Final answer
    x = 31,384.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.