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Finding the Fourth Proportional to 34,173, 51,259.50 and 9,549

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Solution

The fourth proportional to 34,173, 51,259.50 and 9,549 is: 14,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,173 : 51,259.50 = 9,549 : x
  2. Step 2: Convert to fraction form
    34,173/51,259.50 = 9,549/x
  3. Step 3: Cross multiply
    34,173x = 51,259.50 × 9,549
  4. Step 4: Simplify right side
    34,173x = 489,476,965.50
  5. Step 5: Solve for x
    x = 489,476,965.50/34,173
  6. Step 6: Final answer
    x = 14,323.50

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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.