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Finding the Fourth Proportional to 102,546.32, 153,838.20 and 32,445.20

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Solution

The fourth proportional to 102,546.32, 153,838.20 and 32,445.20 is: 48,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,546.32 : 153,838.20 = 32,445.20 : x
  2. Step 2: Convert to fraction form
    102,546.32/153,838.20 = 32,445.20/x
  3. Step 3: Cross multiply
    102,546.32x = 153,838.20 × 32,445.20
  4. Step 4: Simplify right side
    102,546.32x = 4,991,311,166.64
  5. Step 5: Solve for x
    x = 4,991,311,166.64/102,546.32
  6. Step 6: Final answer
    x = 48,673.72

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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.