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Finding the Fourth Proportional to 49,333.50, 74,001.12 and 16,053.42

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Solution

The fourth proportional to 49,333.50, 74,001.12 and 16,053.42 is: 24,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,333.50 : 74,001.12 = 16,053.42 : x
  2. Step 2: Convert to fraction form
    49,333.50/74,001.12 = 16,053.42/x
  3. Step 3: Cross multiply
    49,333.50x = 74,001.12 × 16,053.42
  4. Step 4: Simplify right side
    49,333.50x = 1,187,971,059.83
  5. Step 5: Solve for x
    x = 1,187,971,059.83/49,333.50
  6. Step 6: Final answer
    x = 24,080.41

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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.