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Finding the Fourth Proportional to 47,259, 65,215.32 and 25,748.82

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Solution

The fourth proportional to 47,259, 65,215.32 and 25,748.82 is: 35,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,259 : 65,215.32 = 25,748.82 : x
  2. Step 2: Convert to fraction form
    47,259/65,215.32 = 25,748.82/x
  3. Step 3: Cross multiply
    47,259x = 65,215.32 × 25,748.82
  4. Step 4: Simplify right side
    47,259x = 1,679,217,535.92
  5. Step 5: Solve for x
    x = 1,679,217,535.92/47,259
  6. Step 6: Final answer
    x = 35,532.23

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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.