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Finding the Fourth Proportional to 102,402.44, 153,598.83 and 35,857.50

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Solution

The fourth proportional to 102,402.44, 153,598.83 and 35,857.50 is: 53,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,402.44 : 153,598.83 = 35,857.50 : x
  2. Step 2: Convert to fraction form
    102,402.44/153,598.83 = 35,857.50/x
  3. Step 3: Cross multiply
    102,402.44x = 153,598.83 × 35,857.50
  4. Step 4: Simplify right side
    102,402.44x = 5,507,670,046.73
  5. Step 5: Solve for x
    x = 5,507,670,046.73/102,402.44
  6. Step 6: Final answer
    x = 53,784.56

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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.