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Finding the Fourth Proportional to 32,784, 49,176.48 and 8,160

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Solution

The fourth proportional to 32,784, 49,176.48 and 8,160 is: 12,240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,784 : 49,176.48 = 8,160 : x
  2. Step 2: Convert to fraction form
    32,784/49,176.48 = 8,160/x
  3. Step 3: Cross multiply
    32,784x = 49,176.48 × 8,160
  4. Step 4: Simplify right side
    32,784x = 401,280,076.80
  5. Step 5: Solve for x
    x = 401,280,076.80/32,784
  6. Step 6: Final answer
    x = 12,240.12

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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.