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Finding the Fourth Proportional to 29,538.72, 40,768.50 and 28,210.08

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Solution

The fourth proportional to 29,538.72, 40,768.50 and 28,210.08 is: 38,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538.72 : 40,768.50 = 28,210.08 : x
  2. Step 2: Convert to fraction form
    29,538.72/40,768.50 = 28,210.08/x
  3. Step 3: Cross multiply
    29,538.72x = 40,768.50 × 28,210.08
  4. Step 4: Simplify right side
    29,538.72x = 1,150,082,646.48
  5. Step 5: Solve for x
    x = 1,150,082,646.48/29,538.72
  6. Step 6: Final answer
    x = 38,934.75

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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.