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Finding the Fourth Proportional to 52,504, 78,779.20 and 27,538.08

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Solution

The fourth proportional to 52,504, 78,779.20 and 27,538.08 is: 41,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,504 : 78,779.20 = 27,538.08 : x
  2. Step 2: Convert to fraction form
    52,504/78,779.20 = 27,538.08/x
  3. Step 3: Cross multiply
    52,504x = 78,779.20 × 27,538.08
  4. Step 4: Simplify right side
    52,504x = 2,169,427,911.94
  5. Step 5: Solve for x
    x = 2,169,427,911.94/52,504
  6. Step 6: Final answer
    x = 41,319.29

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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.