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Finding the Fourth Proportional to 32,140.41, 48,199.29 and 9,644.37

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Solution

The fourth proportional to 32,140.41, 48,199.29 and 9,644.37 is: 14,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,140.41 : 48,199.29 = 9,644.37 : x
  2. Step 2: Convert to fraction form
    32,140.41/48,199.29 = 9,644.37/x
  3. Step 3: Cross multiply
    32,140.41x = 48,199.29 × 9,644.37
  4. Step 4: Simplify right side
    32,140.41x = 464,851,786.50
  5. Step 5: Solve for x
    x = 464,851,786.50/32,140.41
  6. Step 6: Final answer
    x = 14,463.16

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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.