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Finding the Fourth Proportional to 32,958.16, 49,445.64 and 9,584.60

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Solution

The fourth proportional to 32,958.16, 49,445.64 and 9,584.60 is: 14,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,958.16 : 49,445.64 = 9,584.60 : x
  2. Step 2: Convert to fraction form
    32,958.16/49,445.64 = 9,584.60/x
  3. Step 3: Cross multiply
    32,958.16x = 49,445.64 × 9,584.60
  4. Step 4: Simplify right side
    32,958.16x = 473,916,433.92
  5. Step 5: Solve for x
    x = 473,916,433.92/32,958.16
  6. Step 6: Final answer
    x = 14,379.34

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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.