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Finding the Fourth Proportional to 52,608.85, 78,947.80 and 19,329.19

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Solution

The fourth proportional to 52,608.85, 78,947.80 and 19,329.19 is: 29,006.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,608.85 : 78,947.80 = 19,329.19 : x
  2. Step 2: Convert to fraction form
    52,608.85/78,947.80 = 19,329.19/x
  3. Step 3: Cross multiply
    52,608.85x = 78,947.80 × 19,329.19
  4. Step 4: Simplify right side
    52,608.85x = 1,525,997,026.28
  5. Step 5: Solve for x
    x = 1,525,997,026.28/52,608.85
  6. Step 6: Final answer
    x = 29,006.47

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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.