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Finding the Fourth Proportional to 35,552, 53,336.64 and 10,928

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Solution

The fourth proportional to 35,552, 53,336.64 and 10,928 is: 16,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,552 : 53,336.64 = 10,928 : x
  2. Step 2: Convert to fraction form
    35,552/53,336.64 = 10,928/x
  3. Step 3: Cross multiply
    35,552x = 53,336.64 × 10,928
  4. Step 4: Simplify right side
    35,552x = 582,862,801.92
  5. Step 5: Solve for x
    x = 582,862,801.92/35,552
  6. Step 6: Final answer
    x = 16,394.66

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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.