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Finding the Fourth Proportional to 34,537.68, 51,809.40 and 12,350.16

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Solution

The fourth proportional to 34,537.68, 51,809.40 and 12,350.16 is: 18,526.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,537.68 : 51,809.40 = 12,350.16 : x
  2. Step 2: Convert to fraction form
    34,537.68/51,809.40 = 12,350.16/x
  3. Step 3: Cross multiply
    34,537.68x = 51,809.40 × 12,350.16
  4. Step 4: Simplify right side
    34,537.68x = 639,854,379.50
  5. Step 5: Solve for x
    x = 639,854,379.50/34,537.68
  6. Step 6: Final answer
    x = 18,526.27

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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.