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Finding the Fourth Proportional to 102,455.38, 153,698.46 and 32,333.68

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Solution

The fourth proportional to 102,455.38, 153,698.46 and 32,333.68 is: 48,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,455.38 : 153,698.46 = 32,333.68 : x
  2. Step 2: Convert to fraction form
    102,455.38/153,698.46 = 32,333.68/x
  3. Step 3: Cross multiply
    102,455.38x = 153,698.46 × 32,333.68
  4. Step 4: Simplify right side
    102,455.38x = 4,969,636,822.13
  5. Step 5: Solve for x
    x = 4,969,636,822.13/102,455.38
  6. Step 6: Final answer
    x = 48,505.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.