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Finding the Fourth Proportional to 32,919.49, 49,370.37 and 9,225.64

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Solution

The fourth proportional to 32,919.49, 49,370.37 and 9,225.64 is: 13,835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,919.49 : 49,370.37 = 9,225.64 : x
  2. Step 2: Convert to fraction form
    32,919.49/49,370.37 = 9,225.64/x
  3. Step 3: Cross multiply
    32,919.49x = 49,370.37 × 9,225.64
  4. Step 4: Simplify right side
    32,919.49x = 455,473,260.29
  5. Step 5: Solve for x
    x = 455,473,260.29/32,919.49
  6. Step 6: Final answer
    x = 13,835.98

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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.