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Finding the Fourth Proportional to 35,222.50, 52,806.02 and 17,459.26

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Solution

The fourth proportional to 35,222.50, 52,806.02 and 17,459.26 is: 26,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,222.50 : 52,806.02 = 17,459.26 : x
  2. Step 2: Convert to fraction form
    35,222.50/52,806.02 = 17,459.26/x
  3. Step 3: Cross multiply
    35,222.50x = 52,806.02 × 17,459.26
  4. Step 4: Simplify right side
    35,222.50x = 921,954,032.75
  5. Step 5: Solve for x
    x = 921,954,032.75/35,222.50
  6. Step 6: Final answer
    x = 26,175.14

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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.