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Finding the Fourth Proportional to 38,235, 57,352.50 and 10,533

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Solution

The fourth proportional to 38,235, 57,352.50 and 10,533 is: 15,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,235 : 57,352.50 = 10,533 : x
  2. Step 2: Convert to fraction form
    38,235/57,352.50 = 10,533/x
  3. Step 3: Cross multiply
    38,235x = 57,352.50 × 10,533
  4. Step 4: Simplify right side
    38,235x = 604,093,882.50
  5. Step 5: Solve for x
    x = 604,093,882.50/38,235
  6. Step 6: Final answer
    x = 15,799.50

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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.