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Finding the Fourth Proportional to 47,418.86, 65,435.38 and 29,513.30

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Solution

The fourth proportional to 47,418.86, 65,435.38 and 29,513.30 is: 40,726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,418.86 : 65,435.38 = 29,513.30 : x
  2. Step 2: Convert to fraction form
    47,418.86/65,435.38 = 29,513.30/x
  3. Step 3: Cross multiply
    47,418.86x = 65,435.38 × 29,513.30
  4. Step 4: Simplify right side
    47,418.86x = 1,931,214,000.55
  5. Step 5: Solve for x
    x = 1,931,214,000.55/47,418.86
  6. Step 6: Final answer
    x = 40,726.71

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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.