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Finding the Fourth Proportional to 34,678.30, 47,855.86 and 19,575.87

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Solution

The fourth proportional to 34,678.30, 47,855.86 and 19,575.87 is: 27,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,678.30 : 47,855.86 = 19,575.87 : x
  2. Step 2: Convert to fraction form
    34,678.30/47,855.86 = 19,575.87/x
  3. Step 3: Cross multiply
    34,678.30x = 47,855.86 × 19,575.87
  4. Step 4: Simplify right side
    34,678.30x = 936,820,094.10
  5. Step 5: Solve for x
    x = 936,820,094.10/34,678.30
  6. Step 6: Final answer
    x = 27,014.59

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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.