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Finding the Fourth Proportional to 32,784.50, 49,176.93 and 8,160.50

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Solution

The fourth proportional to 32,784.50, 49,176.93 and 8,160.50 is: 12,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,784.50 : 49,176.93 = 8,160.50 : x
  2. Step 2: Convert to fraction form
    32,784.50/49,176.93 = 8,160.50/x
  3. Step 3: Cross multiply
    32,784.50x = 49,176.93 × 8,160.50
  4. Step 4: Simplify right side
    32,784.50x = 401,308,337.27
  5. Step 5: Solve for x
    x = 401,308,337.27/32,784.50
  6. Step 6: Final answer
    x = 12,240.79

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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.