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Finding the Fourth Proportional to 34,205.10, 51,304.03 and 16,189.01

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Solution

The fourth proportional to 34,205.10, 51,304.03 and 16,189.01 is: 24,281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.10 : 51,304.03 = 16,189.01 : x
  2. Step 2: Convert to fraction form
    34,205.10/51,304.03 = 16,189.01/x
  3. Step 3: Cross multiply
    34,205.10x = 51,304.03 × 16,189.01
  4. Step 4: Simplify right side
    34,205.10x = 830,561,454.71
  5. Step 5: Solve for x
    x = 830,561,454.71/34,205.10
  6. Step 6: Final answer
    x = 24,281.80

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Why These Related Problems?

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