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Finding the Fourth Proportional to 47,417.86, 65,434 and 29,512.30

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Solution

The fourth proportional to 47,417.86, 65,434 and 29,512.30 is: 40,725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,417.86 : 65,434 = 29,512.30 : x
  2. Step 2: Convert to fraction form
    47,417.86/65,434 = 29,512.30/x
  3. Step 3: Cross multiply
    47,417.86x = 65,434 × 29,512.30
  4. Step 4: Simplify right side
    47,417.86x = 1,931,107,838.20
  5. Step 5: Solve for x
    x = 1,931,107,838.20/47,417.86
  6. Step 6: Final answer
    x = 40,725.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.