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Finding the Fourth Proportional to 47,145.84, 65,063 and 25,926.96

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Solution

The fourth proportional to 47,145.84, 65,063 and 25,926.96 is: 35,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,145.84 : 65,063 = 25,926.96 : x
  2. Step 2: Convert to fraction form
    47,145.84/65,063 = 25,926.96/x
  3. Step 3: Cross multiply
    47,145.84x = 65,063 × 25,926.96
  4. Step 4: Simplify right side
    47,145.84x = 1,686,885,798.48
  5. Step 5: Solve for x
    x = 1,686,885,798.48/47,145.84
  6. Step 6: Final answer
    x = 35,780.16

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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.