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Finding the Fourth Proportional to 51,532, 71,114.24 and 29,180.32

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Solution

The fourth proportional to 51,532, 71,114.24 and 29,180.32 is: 40,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,532 : 71,114.24 = 29,180.32 : x
  2. Step 2: Convert to fraction form
    51,532/71,114.24 = 29,180.32/x
  3. Step 3: Cross multiply
    51,532x = 71,114.24 × 29,180.32
  4. Step 4: Simplify right side
    51,532x = 2,075,136,279.76
  5. Step 5: Solve for x
    x = 2,075,136,279.76/51,532
  6. Step 6: Final answer
    x = 40,268.89

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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.