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Finding the Fourth Proportional to 32,887.86, 49,326.90 and 12,106.50

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Solution

The fourth proportional to 32,887.86, 49,326.90 and 12,106.50 is: 18,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,887.86 : 49,326.90 = 12,106.50 : x
  2. Step 2: Convert to fraction form
    32,887.86/49,326.90 = 12,106.50/x
  3. Step 3: Cross multiply
    32,887.86x = 49,326.90 × 12,106.50
  4. Step 4: Simplify right side
    32,887.86x = 597,176,114.85
  5. Step 5: Solve for x
    x = 597,176,114.85/32,887.86
  6. Step 6: Final answer
    x = 18,157.95

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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.