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Finding the Fourth Proportional to 114,026.98, 171,050.55 and 29,786.50

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Solution

The fourth proportional to 114,026.98, 171,050.55 and 29,786.50 is: 44,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,026.98 : 171,050.55 = 29,786.50 : x
  2. Step 2: Convert to fraction form
    114,026.98/171,050.55 = 29,786.50/x
  3. Step 3: Cross multiply
    114,026.98x = 171,050.55 × 29,786.50
  4. Step 4: Simplify right side
    114,026.98x = 5,094,997,207.58
  5. Step 5: Solve for x
    x = 5,094,997,207.58/114,026.98
  6. Step 6: Final answer
    x = 44,682.38

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