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Finding the Fourth Proportional to 29,733.38, 41,032.63 and 16,303.83

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Solution

The fourth proportional to 29,733.38, 41,032.63 and 16,303.83 is: 22,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,733.38 : 41,032.63 = 16,303.83 : x
  2. Step 2: Convert to fraction form
    29,733.38/41,032.63 = 16,303.83/x
  3. Step 3: Cross multiply
    29,733.38x = 41,032.63 × 16,303.83
  4. Step 4: Simplify right side
    29,733.38x = 668,989,029.58
  5. Step 5: Solve for x
    x = 668,989,029.58/29,733.38
  6. Step 6: Final answer
    x = 22,499.60

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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.