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Finding the Fourth Proportional to 47,238.24, 65,186.88 and 26,016

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Solution

The fourth proportional to 47,238.24, 65,186.88 and 26,016 is: 35,901.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,238.24 : 65,186.88 = 26,016 : x
  2. Step 2: Convert to fraction form
    47,238.24/65,186.88 = 26,016/x
  3. Step 3: Cross multiply
    47,238.24x = 65,186.88 × 26,016
  4. Step 4: Simplify right side
    47,238.24x = 1,695,901,870.08
  5. Step 5: Solve for x
    x = 1,695,901,870.08/47,238.24
  6. Step 6: Final answer
    x = 35,901.04

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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.