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Finding the Fourth Proportional to 103,699.76, 155,548.62 and 47,523.94

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Solution

The fourth proportional to 103,699.76, 155,548.62 and 47,523.94 is: 71,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,699.76 : 155,548.62 = 47,523.94 : x
  2. Step 2: Convert to fraction form
    103,699.76/155,548.62 = 47,523.94/x
  3. Step 3: Cross multiply
    103,699.76x = 155,548.62 × 47,523.94
  4. Step 4: Simplify right side
    103,699.76x = 7,392,283,283.96
  5. Step 5: Solve for x
    x = 7,392,283,283.96/103,699.76
  6. Step 6: Final answer
    x = 71,285.44

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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.