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Finding the Fourth Proportional to 47,561, 65,634.04 and 27,417.77

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Solution

The fourth proportional to 47,561, 65,634.04 and 27,417.77 is: 37,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,561 : 65,634.04 = 27,417.77 : x
  2. Step 2: Convert to fraction form
    47,561/65,634.04 = 27,417.77/x
  3. Step 3: Cross multiply
    47,561x = 65,634.04 × 27,417.77
  4. Step 4: Simplify right side
    47,561x = 1,799,539,012.89
  5. Step 5: Solve for x
    x = 1,799,539,012.89/47,561
  6. Step 6: Final answer
    x = 37,836.44

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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.