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Finding the Fourth Proportional to 29,605.49, 40,858.34 and 16,178.72

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Solution

The fourth proportional to 29,605.49, 40,858.34 and 16,178.72 is: 22,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,605.49 : 40,858.34 = 16,178.72 : x
  2. Step 2: Convert to fraction form
    29,605.49/40,858.34 = 16,178.72/x
  3. Step 3: Cross multiply
    29,605.49x = 40,858.34 × 16,178.72
  4. Step 4: Simplify right side
    29,605.49x = 661,035,357.34
  5. Step 5: Solve for x
    x = 661,035,357.34/29,605.49
  6. Step 6: Final answer
    x = 22,328.14

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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.