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Finding the Fourth Proportional to 52,952.66, 73,075.19 and 29,079.84

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Solution

The fourth proportional to 52,952.66, 73,075.19 and 29,079.84 is: 40,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,952.66 : 73,075.19 = 29,079.84 : x
  2. Step 2: Convert to fraction form
    52,952.66/73,075.19 = 29,079.84/x
  3. Step 3: Cross multiply
    52,952.66x = 73,075.19 × 29,079.84
  4. Step 4: Simplify right side
    52,952.66x = 2,125,014,961.80
  5. Step 5: Solve for x
    x = 2,125,014,961.80/52,952.66
  6. Step 6: Final answer
    x = 40,130.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.