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Finding the Fourth Proportional to 35,728.88, 53,515.32 and 17,222

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Solution

The fourth proportional to 35,728.88, 53,515.32 and 17,222 is: 25,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,728.88 : 53,515.32 = 17,222 : x
  2. Step 2: Convert to fraction form
    35,728.88/53,515.32 = 17,222/x
  3. Step 3: Cross multiply
    35,728.88x = 53,515.32 × 17,222
  4. Step 4: Simplify right side
    35,728.88x = 921,640,841.04
  5. Step 5: Solve for x
    x = 921,640,841.04/35,728.88
  6. Step 6: Final answer
    x = 25,795.40

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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.