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Finding the Fourth Proportional to 47,107.96, 65,008.22 and 25,886.77

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Solution

The fourth proportional to 47,107.96, 65,008.22 and 25,886.77 is: 35,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,107.96 : 65,008.22 = 25,886.77 : x
  2. Step 2: Convert to fraction form
    47,107.96/65,008.22 = 25,886.77/x
  3. Step 3: Cross multiply
    47,107.96x = 65,008.22 × 25,886.77
  4. Step 4: Simplify right side
    47,107.96x = 1,682,852,547.30
  5. Step 5: Solve for x
    x = 1,682,852,547.30/47,107.96
  6. Step 6: Final answer
    x = 35,723.32

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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.