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Finding the Fourth Proportional to 32,475.86, 48,708.30 and 9,096.92

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Solution

The fourth proportional to 32,475.86, 48,708.30 and 9,096.92 is: 13,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475.86 : 48,708.30 = 9,096.92 : x
  2. Step 2: Convert to fraction form
    32,475.86/48,708.30 = 9,096.92/x
  3. Step 3: Cross multiply
    32,475.86x = 48,708.30 × 9,096.92
  4. Step 4: Simplify right side
    32,475.86x = 443,095,508.44
  5. Step 5: Solve for x
    x = 443,095,508.44/32,475.86
  6. Step 6: Final answer
    x = 13,643.84

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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.