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Finding the Fourth Proportional to 29,783.40, 41,098.53 and 16,354.50

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Solution

The fourth proportional to 29,783.40, 41,098.53 and 16,354.50 is: 22,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,783.40 : 41,098.53 = 16,354.50 : x
  2. Step 2: Convert to fraction form
    29,783.40/41,098.53 = 16,354.50/x
  3. Step 3: Cross multiply
    29,783.40x = 41,098.53 × 16,354.50
  4. Step 4: Simplify right side
    29,783.40x = 672,145,908.89
  5. Step 5: Solve for x
    x = 672,145,908.89/29,783.40
  6. Step 6: Final answer
    x = 22,567.80

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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.