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Finding the Fourth Proportional to 32,839.56, 49,252.86 and 9,460.80

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Solution

The fourth proportional to 32,839.56, 49,252.86 and 9,460.80 is: 14,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,839.56 : 49,252.86 = 9,460.80 : x
  2. Step 2: Convert to fraction form
    32,839.56/49,252.86 = 9,460.80/x
  3. Step 3: Cross multiply
    32,839.56x = 49,252.86 × 9,460.80
  4. Step 4: Simplify right side
    32,839.56x = 465,971,457.89
  5. Step 5: Solve for x
    x = 465,971,457.89/32,839.56
  6. Step 6: Final answer
    x = 14,189.33

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1.5x scale

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.