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Finding the Fourth Proportional to 102,374.14, 153,583.07 and 35,816.44

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Solution

The fourth proportional to 102,374.14, 153,583.07 and 35,816.44 is: 53,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,374.14 : 153,583.07 = 35,816.44 : x
  2. Step 2: Convert to fraction form
    102,374.14/153,583.07 = 35,816.44/x
  3. Step 3: Cross multiply
    102,374.14x = 153,583.07 × 35,816.44
  4. Step 4: Simplify right side
    102,374.14x = 5,500,798,043.76
  5. Step 5: Solve for x
    x = 5,500,798,043.76/102,374.14
  6. Step 6: Final answer
    x = 53,732.30

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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.