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Finding the Fourth Proportional to 52,784.45, 72,843.71 and 30,122.99

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Solution

The fourth proportional to 52,784.45, 72,843.71 and 30,122.99 is: 41,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,784.45 : 72,843.71 = 30,122.99 : x
  2. Step 2: Convert to fraction form
    52,784.45/72,843.71 = 30,122.99/x
  3. Step 3: Cross multiply
    52,784.45x = 72,843.71 × 30,122.99
  4. Step 4: Simplify right side
    52,784.45x = 2,194,270,347.89
  5. Step 5: Solve for x
    x = 2,194,270,347.89/52,784.45
  6. Step 6: Final answer
    x = 41,570.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.