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Finding the Fourth Proportional to 32,156.69, 48,238.38 and 8,783.13

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Solution

The fourth proportional to 32,156.69, 48,238.38 and 8,783.13 is: 13,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,156.69 : 48,238.38 = 8,783.13 : x
  2. Step 2: Convert to fraction form
    32,156.69/48,238.38 = 8,783.13/x
  3. Step 3: Cross multiply
    32,156.69x = 48,238.38 × 8,783.13
  4. Step 4: Simplify right side
    32,156.69x = 423,683,962.53
  5. Step 5: Solve for x
    x = 423,683,962.53/32,156.69
  6. Step 6: Final answer
    x = 13,175.61

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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.