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Finding the Fourth Proportional to 29,182.38, 40,271.86 and 16,607.13

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Solution

The fourth proportional to 29,182.38, 40,271.86 and 16,607.13 is: 22,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,182.38 : 40,271.86 = 16,607.13 : x
  2. Step 2: Convert to fraction form
    29,182.38/40,271.86 = 16,607.13/x
  3. Step 3: Cross multiply
    29,182.38x = 40,271.86 × 16,607.13
  4. Step 4: Simplify right side
    29,182.38x = 668,800,032.01
  5. Step 5: Solve for x
    x = 668,800,032.01/29,182.38
  6. Step 6: Final answer
    x = 22,917.94

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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.