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Finding the Fourth Proportional to 34,808, 52,142.88 and 17,224.16

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Solution

The fourth proportional to 34,808, 52,142.88 and 17,224.16 is: 25,802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,808 : 52,142.88 = 17,224.16 : x
  2. Step 2: Convert to fraction form
    34,808/52,142.88 = 17,224.16/x
  3. Step 3: Cross multiply
    34,808x = 52,142.88 × 17,224.16
  4. Step 4: Simplify right side
    34,808x = 898,117,307.98
  5. Step 5: Solve for x
    x = 898,117,307.98/34,808
  6. Step 6: Final answer
    x = 25,802.04

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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.