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Finding the Fourth Proportional to 102,544.32, 153,835.20 and 32,443.20

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Solution

The fourth proportional to 102,544.32, 153,835.20 and 32,443.20 is: 48,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,544.32 : 153,835.20 = 32,443.20 : x
  2. Step 2: Convert to fraction form
    102,544.32/153,835.20 = 32,443.20/x
  3. Step 3: Cross multiply
    102,544.32x = 153,835.20 × 32,443.20
  4. Step 4: Simplify right side
    102,544.32x = 4,990,906,160.64
  5. Step 5: Solve for x
    x = 4,990,906,160.64/102,544.32
  6. Step 6: Final answer
    x = 48,670.72

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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.