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Finding the Fourth Proportional to 47,562.64, 65,634.24 and 27,423.12

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Solution

The fourth proportional to 47,562.64, 65,634.24 and 27,423.12 is: 37,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,562.64 : 65,634.24 = 27,423.12 : x
  2. Step 2: Convert to fraction form
    47,562.64/65,634.24 = 27,423.12/x
  3. Step 3: Cross multiply
    47,562.64x = 65,634.24 × 27,423.12
  4. Step 4: Simplify right side
    47,562.64x = 1,799,895,639.63
  5. Step 5: Solve for x
    x = 1,799,895,639.63/47,562.64
  6. Step 6: Final answer
    x = 37,842.64

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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.