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Finding the Fourth Proportional to 29,075.01, 40,129.77 and 17,742.08

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Solution

The fourth proportional to 29,075.01, 40,129.77 and 17,742.08 is: 24,487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,075.01 : 40,129.77 = 17,742.08 : x
  2. Step 2: Convert to fraction form
    29,075.01/40,129.77 = 17,742.08/x
  3. Step 3: Cross multiply
    29,075.01x = 40,129.77 × 17,742.08
  4. Step 4: Simplify right side
    29,075.01x = 711,985,389.07
  5. Step 5: Solve for x
    x = 711,985,389.07/29,075.01
  6. Step 6: Final answer
    x = 24,487.88

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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.