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Finding the Fourth Proportional to 32,235.44, 48,335.81 and 9,743.04

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Solution

The fourth proportional to 32,235.44, 48,335.81 and 9,743.04 is: 14,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,235.44 : 48,335.81 = 9,743.04 : x
  2. Step 2: Convert to fraction form
    32,235.44/48,335.81 = 9,743.04/x
  3. Step 3: Cross multiply
    32,235.44x = 48,335.81 × 9,743.04
  4. Step 4: Simplify right side
    32,235.44x = 470,937,681.55
  5. Step 5: Solve for x
    x = 470,937,681.55/32,235.44
  6. Step 6: Final answer
    x = 14,609.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.