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Finding the Fourth Proportional to 52,771.30, 72,828.56 and 30,105.08

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Solution

The fourth proportional to 52,771.30, 72,828.56 and 30,105.08 is: 41,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,771.30 : 72,828.56 = 30,105.08 : x
  2. Step 2: Convert to fraction form
    52,771.30/72,828.56 = 30,105.08/x
  3. Step 3: Cross multiply
    52,771.30x = 72,828.56 × 30,105.08
  4. Step 4: Simplify right side
    52,771.30x = 2,192,509,625.08
  5. Step 5: Solve for x
    x = 2,192,509,625.08/52,771.30
  6. Step 6: Final answer
    x = 41,547.39

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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.