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Finding the Fourth Proportional to 47,785.77, 65,945.16 and 26,276.40

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Solution

The fourth proportional to 47,785.77, 65,945.16 and 26,276.40 is: 36,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,785.77 : 65,945.16 = 26,276.40 : x
  2. Step 2: Convert to fraction form
    47,785.77/65,945.16 = 26,276.40/x
  3. Step 3: Cross multiply
    47,785.77x = 65,945.16 × 26,276.40
  4. Step 4: Simplify right side
    47,785.77x = 1,732,801,402.22
  5. Step 5: Solve for x
    x = 1,732,801,402.22/47,785.77
  6. Step 6: Final answer
    x = 36,261.87

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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.