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Finding the Fourth Proportional to 32,807.84, 49,206.59 and 11,744.60

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Solution

The fourth proportional to 32,807.84, 49,206.59 and 11,744.60 is: 17,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,807.84 : 49,206.59 = 11,744.60 : x
  2. Step 2: Convert to fraction form
    32,807.84/49,206.59 = 11,744.60/x
  3. Step 3: Cross multiply
    32,807.84x = 49,206.59 × 11,744.60
  4. Step 4: Simplify right side
    32,807.84x = 577,911,456.20
  5. Step 5: Solve for x
    x = 577,911,456.20/32,807.84
  6. Step 6: Final answer
    x = 17,615.04

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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.