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Finding the Fourth Proportional to 34,389.40, 51,584.10 and 20,565.40

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Solution

The fourth proportional to 34,389.40, 51,584.10 and 20,565.40 is: 30,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,389.40 : 51,584.10 = 20,565.40 : x
  2. Step 2: Convert to fraction form
    34,389.40/51,584.10 = 20,565.40/x
  3. Step 3: Cross multiply
    34,389.40x = 51,584.10 × 20,565.40
  4. Step 4: Simplify right side
    34,389.40x = 1,060,847,650.14
  5. Step 5: Solve for x
    x = 1,060,847,650.14/34,389.40
  6. Step 6: Final answer
    x = 30,848.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.