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Finding the Fourth Proportional to 29,471.54, 40,670.70 and 16,042.78

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Solution

The fourth proportional to 29,471.54, 40,670.70 and 16,042.78 is: 22,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,471.54 : 40,670.70 = 16,042.78 : x
  2. Step 2: Convert to fraction form
    29,471.54/40,670.70 = 16,042.78/x
  3. Step 3: Cross multiply
    29,471.54x = 40,670.70 × 16,042.78
  4. Step 4: Simplify right side
    29,471.54x = 652,470,889.19
  5. Step 5: Solve for x
    x = 652,470,889.19/29,471.54
  6. Step 6: Final answer
    x = 22,139.02

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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.