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Finding the Fourth Proportional to 29,354.79, 40,509.38 and 16,434.08

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Solution

The fourth proportional to 29,354.79, 40,509.38 and 16,434.08 is: 22,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,354.79 : 40,509.38 = 16,434.08 : x
  2. Step 2: Convert to fraction form
    29,354.79/40,509.38 = 16,434.08/x
  3. Step 3: Cross multiply
    29,354.79x = 40,509.38 × 16,434.08
  4. Step 4: Simplify right side
    29,354.79x = 665,734,189.12
  5. Step 5: Solve for x
    x = 665,734,189.12/29,354.79
  6. Step 6: Final answer
    x = 22,678.89

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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.