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Finding the Fourth Proportional to 29,437, 40,623.06 and 16,189

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Solution

The fourth proportional to 29,437, 40,623.06 and 16,189 is: 22,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,437 : 40,623.06 = 16,189 : x
  2. Step 2: Convert to fraction form
    29,437/40,623.06 = 16,189/x
  3. Step 3: Cross multiply
    29,437x = 40,623.06 × 16,189
  4. Step 4: Simplify right side
    29,437x = 657,646,718.34
  5. Step 5: Solve for x
    x = 657,646,718.34/29,437
  6. Step 6: Final answer
    x = 22,340.82

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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.