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Finding the Fourth Proportional to 32,158.16, 48,241.91 and 9,973.32

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Solution

The fourth proportional to 32,158.16, 48,241.91 and 9,973.32 is: 14,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,158.16 : 48,241.91 = 9,973.32 : x
  2. Step 2: Convert to fraction form
    32,158.16/48,241.91 = 9,973.32/x
  3. Step 3: Cross multiply
    32,158.16x = 48,241.91 × 9,973.32
  4. Step 4: Simplify right side
    32,158.16x = 481,131,955.97
  5. Step 5: Solve for x
    x = 481,131,955.97/32,158.16
  6. Step 6: Final answer
    x = 14,961.43

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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.