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Finding the Fourth Proportional to 52,710.75, 79,077.06 and 21,546

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Solution

The fourth proportional to 52,710.75, 79,077.06 and 21,546 is: 32,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,710.75 : 79,077.06 = 21,546 : x
  2. Step 2: Convert to fraction form
    52,710.75/79,077.06 = 21,546/x
  3. Step 3: Cross multiply
    52,710.75x = 79,077.06 × 21,546
  4. Step 4: Simplify right side
    52,710.75x = 1,703,794,334.76
  5. Step 5: Solve for x
    x = 1,703,794,334.76/52,710.75
  6. Step 6: Final answer
    x = 32,323.47

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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.