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Finding the Fourth Proportional to 52,765.83, 79,179.93 and 19,509.26

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Solution

The fourth proportional to 52,765.83, 79,179.93 and 19,509.26 is: 29,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,765.83 : 79,179.93 = 19,509.26 : x
  2. Step 2: Convert to fraction form
    52,765.83/79,179.93 = 19,509.26/x
  3. Step 3: Cross multiply
    52,765.83x = 79,179.93 × 19,509.26
  4. Step 4: Simplify right side
    52,765.83x = 1,544,741,445.25
  5. Step 5: Solve for x
    x = 1,544,741,445.25/52,765.83
  6. Step 6: Final answer
    x = 29,275.41

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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.