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Finding the Fourth Proportional to 102,651.20, 153,981.12 and 32,533.28

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Solution

The fourth proportional to 102,651.20, 153,981.12 and 32,533.28 is: 48,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,651.20 : 153,981.12 = 32,533.28 : x
  2. Step 2: Convert to fraction form
    102,651.20/153,981.12 = 32,533.28/x
  3. Step 3: Cross multiply
    102,651.20x = 153,981.12 × 32,533.28
  4. Step 4: Simplify right side
    102,651.20x = 5,009,510,891.67
  5. Step 5: Solve for x
    x = 5,009,510,891.67/102,651.20
  6. Step 6: Final answer
    x = 48,801.29

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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.