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Finding the Fourth Proportional to 77,169.16, 115,756.16 and 26,567.64

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Solution

The fourth proportional to 77,169.16, 115,756.16 and 26,567.64 is: 39,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,169.16 : 115,756.16 = 26,567.64 : x
  2. Step 2: Convert to fraction form
    77,169.16/115,756.16 = 26,567.64/x
  3. Step 3: Cross multiply
    77,169.16x = 115,756.16 × 26,567.64
  4. Step 4: Simplify right side
    77,169.16x = 3,075,367,986.66
  5. Step 5: Solve for x
    x = 3,075,367,986.66/77,169.16
  6. Step 6: Final answer
    x = 39,852.29

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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.