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Finding the Fourth Proportional to 32,173.28, 48,266.80 and 9,986.16

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Solution

The fourth proportional to 32,173.28, 48,266.80 and 9,986.16 is: 14,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,173.28 : 48,266.80 = 9,986.16 : x
  2. Step 2: Convert to fraction form
    32,173.28/48,266.80 = 9,986.16/x
  3. Step 3: Cross multiply
    32,173.28x = 48,266.80 × 9,986.16
  4. Step 4: Simplify right side
    32,173.28x = 481,999,987.49
  5. Step 5: Solve for x
    x = 481,999,987.49/32,173.28
  6. Step 6: Final answer
    x = 14,981.38

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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.