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Finding the Fourth Proportional to 35,139.50, 52,709.28 and 14,363

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Solution

The fourth proportional to 35,139.50, 52,709.28 and 14,363 is: 21,544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,139.50 : 52,709.28 = 14,363 : x
  2. Step 2: Convert to fraction form
    35,139.50/52,709.28 = 14,363/x
  3. Step 3: Cross multiply
    35,139.50x = 52,709.28 × 14,363
  4. Step 4: Simplify right side
    35,139.50x = 757,063,388.64
  5. Step 5: Solve for x
    x = 757,063,388.64/35,139.50
  6. Step 6: Final answer
    x = 21,544.51

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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.