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Finding the Fourth Proportional to 36,209, 54,311.06 and 9,913.98

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Solution

The fourth proportional to 36,209, 54,311.06 and 9,913.98 is: 14,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,209 : 54,311.06 = 9,913.98 : x
  2. Step 2: Convert to fraction form
    36,209/54,311.06 = 9,913.98/x
  3. Step 3: Cross multiply
    36,209x = 54,311.06 × 9,913.98
  4. Step 4: Simplify right side
    36,209x = 538,438,762.62
  5. Step 5: Solve for x
    x = 538,438,762.62/36,209
  6. Step 6: Final answer
    x = 14,870.30

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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.