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Finding the Fourth Proportional to 32,152.82, 48,231.48 and 9,963.32

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Solution

The fourth proportional to 32,152.82, 48,231.48 and 9,963.32 is: 14,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.82 : 48,231.48 = 9,963.32 : x
  2. Step 2: Convert to fraction form
    32,152.82/48,231.48 = 9,963.32/x
  3. Step 3: Cross multiply
    32,152.82x = 48,231.48 × 9,963.32
  4. Step 4: Simplify right side
    32,152.82x = 480,545,669.31
  5. Step 5: Solve for x
    x = 480,545,669.31/32,152.82
  6. Step 6: Final answer
    x = 14,945.68

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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.