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Finding the Fourth Proportional to 35,660.52, 53,458.98 and 16,929

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Solution

The fourth proportional to 35,660.52, 53,458.98 and 16,929 is: 25,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,660.52 : 53,458.98 = 16,929 : x
  2. Step 2: Convert to fraction form
    35,660.52/53,458.98 = 16,929/x
  3. Step 3: Cross multiply
    35,660.52x = 53,458.98 × 16,929
  4. Step 4: Simplify right side
    35,660.52x = 905,007,072.42
  5. Step 5: Solve for x
    x = 905,007,072.42/35,660.52
  6. Step 6: Final answer
    x = 25,378.40

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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.