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Finding the Fourth Proportional to 82,646.80, 123,900.54 and 35,864.44

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Solution

The fourth proportional to 82,646.80, 123,900.54 and 35,864.44 is: 53,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,646.80 : 123,900.54 = 35,864.44 : x
  2. Step 2: Convert to fraction form
    82,646.80/123,900.54 = 35,864.44/x
  3. Step 3: Cross multiply
    82,646.80x = 123,900.54 × 35,864.44
  4. Step 4: Simplify right side
    82,646.80x = 4,443,623,482.80
  5. Step 5: Solve for x
    x = 4,443,623,482.80/82,646.80
  6. Step 6: Final answer
    x = 53,766.43

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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.