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Finding the Fourth Proportional to 29,605.64, 40,858.62 and 16,178.94

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Solution

The fourth proportional to 29,605.64, 40,858.62 and 16,178.94 is: 22,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,605.64 : 40,858.62 = 16,178.94 : x
  2. Step 2: Convert to fraction form
    29,605.64/40,858.62 = 16,178.94/x
  3. Step 3: Cross multiply
    29,605.64x = 40,858.62 × 16,178.94
  4. Step 4: Simplify right side
    29,605.64x = 661,049,161.46
  5. Step 5: Solve for x
    x = 661,049,161.46/29,605.64
  6. Step 6: Final answer
    x = 22,328.49

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1.5x scale

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.