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Finding the Fourth Proportional to 32,789.61, 49,184.82 and 9,416.25

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Solution

The fourth proportional to 32,789.61, 49,184.82 and 9,416.25 is: 14,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,789.61 : 49,184.82 = 9,416.25 : x
  2. Step 2: Convert to fraction form
    32,789.61/49,184.82 = 9,416.25/x
  3. Step 3: Cross multiply
    32,789.61x = 49,184.82 × 9,416.25
  4. Step 4: Simplify right side
    32,789.61x = 463,136,561.33
  5. Step 5: Solve for x
    x = 463,136,561.33/32,789.61
  6. Step 6: Final answer
    x = 14,124.49

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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.