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Finding the Fourth Proportional to 102,599.89, 153,892.14 and 36,040.60

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Solution

The fourth proportional to 102,599.89, 153,892.14 and 36,040.60 is: 54,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,599.89 : 153,892.14 = 36,040.60 : x
  2. Step 2: Convert to fraction form
    102,599.89/153,892.14 = 36,040.60/x
  3. Step 3: Cross multiply
    102,599.89x = 153,892.14 × 36,040.60
  4. Step 4: Simplify right side
    102,599.89x = 5,546,365,060.88
  5. Step 5: Solve for x
    x = 5,546,365,060.88/102,599.89
  6. Step 6: Final answer
    x = 54,058.20

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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.