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Finding the Fourth Proportional to 32,147.84, 48,223.36 and 9,976.32

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Solution

The fourth proportional to 32,147.84, 48,223.36 and 9,976.32 is: 14,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147.84 : 48,223.36 = 9,976.32 : x
  2. Step 2: Convert to fraction form
    32,147.84/48,223.36 = 9,976.32/x
  3. Step 3: Cross multiply
    32,147.84x = 48,223.36 × 9,976.32
  4. Step 4: Simplify right side
    32,147.84x = 481,091,670.84
  5. Step 5: Solve for x
    x = 481,091,670.84/32,147.84
  6. Step 6: Final answer
    x = 14,964.98

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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.