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Finding the Fourth Proportional to 102,394.74, 153,661.30 and 35,835.44

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Solution

The fourth proportional to 102,394.74, 153,661.30 and 35,835.44 is: 53,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,394.74 : 153,661.30 = 35,835.44 : x
  2. Step 2: Convert to fraction form
    102,394.74/153,661.30 = 35,835.44/x
  3. Step 3: Cross multiply
    102,394.74x = 153,661.30 × 35,835.44
  4. Step 4: Simplify right side
    102,394.74x = 5,506,520,296.47
  5. Step 5: Solve for x
    x = 5,506,520,296.47/102,394.74
  6. Step 6: Final answer
    x = 53,777.37

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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.