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Finding the Fourth Proportional to 47,116, 65,023.68 and 26,979.20

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Solution

The fourth proportional to 47,116, 65,023.68 and 26,979.20 is: 37,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,116 : 65,023.68 = 26,979.20 : x
  2. Step 2: Convert to fraction form
    47,116/65,023.68 = 26,979.20/x
  3. Step 3: Cross multiply
    47,116x = 65,023.68 × 26,979.20
  4. Step 4: Simplify right side
    47,116x = 1,754,286,867.46
  5. Step 5: Solve for x
    x = 1,754,286,867.46/47,116
  6. Step 6: Final answer
    x = 37,233.36

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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.