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Finding the Fourth Proportional to 102,336.48, 153,505.44 and 35,776.32

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Solution

The fourth proportional to 102,336.48, 153,505.44 and 35,776.32 is: 53,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,336.48 : 153,505.44 = 35,776.32 : x
  2. Step 2: Convert to fraction form
    102,336.48/153,505.44 = 35,776.32/x
  3. Step 3: Cross multiply
    102,336.48x = 153,505.44 × 35,776.32
  4. Step 4: Simplify right side
    102,336.48x = 5,491,859,743.18
  5. Step 5: Solve for x
    x = 5,491,859,743.18/102,336.48
  6. Step 6: Final answer
    x = 53,664.73

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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.