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Finding the Fourth Proportional to 34,802.38, 52,208.43 and 17,267.50

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Solution

The fourth proportional to 34,802.38, 52,208.43 and 17,267.50 is: 25,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,802.38 : 52,208.43 = 17,267.50 : x
  2. Step 2: Convert to fraction form
    34,802.38/52,208.43 = 17,267.50/x
  3. Step 3: Cross multiply
    34,802.38x = 52,208.43 × 17,267.50
  4. Step 4: Simplify right side
    34,802.38x = 901,509,065.03
  5. Step 5: Solve for x
    x = 901,509,065.03/34,802.38
  6. Step 6: Final answer
    x = 25,903.66

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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.