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Finding the Fourth Proportional to 35,553, 53,329.50 and 10,929

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Solution

The fourth proportional to 35,553, 53,329.50 and 10,929 is: 16,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,553 : 53,329.50 = 10,929 : x
  2. Step 2: Convert to fraction form
    35,553/53,329.50 = 10,929/x
  3. Step 3: Cross multiply
    35,553x = 53,329.50 × 10,929
  4. Step 4: Simplify right side
    35,553x = 582,838,105.50
  5. Step 5: Solve for x
    x = 582,838,105.50/35,553
  6. Step 6: Final answer
    x = 16,393.50

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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.