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Finding the Fourth Proportional to 34,988.50, 52,500.84 and 13,924

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Solution

The fourth proportional to 34,988.50, 52,500.84 and 13,924 is: 20,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,988.50 : 52,500.84 = 13,924 : x
  2. Step 2: Convert to fraction form
    34,988.50/52,500.84 = 13,924/x
  3. Step 3: Cross multiply
    34,988.50x = 52,500.84 × 13,924
  4. Step 4: Simplify right side
    34,988.50x = 731,021,696.16
  5. Step 5: Solve for x
    x = 731,021,696.16/34,988.50
  6. Step 6: Final answer
    x = 20,893.20

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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.