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Finding the Fourth Proportional to 29,354.90, 40,507.89 and 16,779.38

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Solution

The fourth proportional to 29,354.90, 40,507.89 and 16,779.38 is: 23,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,354.90 : 40,507.89 = 16,779.38 : x
  2. Step 2: Convert to fraction form
    29,354.90/40,507.89 = 16,779.38/x
  3. Step 3: Cross multiply
    29,354.90x = 40,507.89 × 16,779.38
  4. Step 4: Simplify right side
    29,354.90x = 679,697,279.31
  5. Step 5: Solve for x
    x = 679,697,279.31/29,354.90
  6. Step 6: Final answer
    x = 23,154.47

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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.