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Finding the Fourth Proportional to 29,906.71, 41,271.74 and 16,477.77

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Solution

The fourth proportional to 29,906.71, 41,271.74 and 16,477.77 is: 22,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,906.71 : 41,271.74 = 16,477.77 : x
  2. Step 2: Convert to fraction form
    29,906.71/41,271.74 = 16,477.77/x
  3. Step 3: Cross multiply
    29,906.71x = 41,271.74 × 16,477.77
  4. Step 4: Simplify right side
    29,906.71x = 680,066,239.22
  5. Step 5: Solve for x
    x = 680,066,239.22/29,906.71
  6. Step 6: Final answer
    x = 22,739.59

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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.