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Finding the Fourth Proportional to 33,159.02, 49,731.17 and 9,779.98

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Solution

The fourth proportional to 33,159.02, 49,731.17 and 9,779.98 is: 14,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,159.02 : 49,731.17 = 9,779.98 : x
  2. Step 2: Convert to fraction form
    33,159.02/49,731.17 = 9,779.98/x
  3. Step 3: Cross multiply
    33,159.02x = 49,731.17 × 9,779.98
  4. Step 4: Simplify right side
    33,159.02x = 486,369,847.98
  5. Step 5: Solve for x
    x = 486,369,847.98/33,159.02
  6. Step 6: Final answer
    x = 14,667.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.