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Finding the Fourth Proportional to 41,032, 56,624.16 and 23,368

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Solution

The fourth proportional to 41,032, 56,624.16 and 23,368 is: 32,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,032 : 56,624.16 = 23,368 : x
  2. Step 2: Convert to fraction form
    41,032/56,624.16 = 23,368/x
  3. Step 3: Cross multiply
    41,032x = 56,624.16 × 23,368
  4. Step 4: Simplify right side
    41,032x = 1,323,193,370.88
  5. Step 5: Solve for x
    x = 1,323,193,370.88/41,032
  6. Step 6: Final answer
    x = 32,247.84

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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.