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Finding the Fourth Proportional to 35,262, 52,901.80 and 10,638

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Solution

The fourth proportional to 35,262, 52,901.80 and 10,638 is: 15,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,262 : 52,901.80 = 10,638 : x
  2. Step 2: Convert to fraction form
    35,262/52,901.80 = 10,638/x
  3. Step 3: Cross multiply
    35,262x = 52,901.80 × 10,638
  4. Step 4: Simplify right side
    35,262x = 562,769,348.40
  5. Step 5: Solve for x
    x = 562,769,348.40/35,262
  6. Step 6: Final answer
    x = 15,959.65

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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.