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Finding the Fourth Proportional to 73,495.89, 110,254.14 and 23,564.25

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Solution

The fourth proportional to 73,495.89, 110,254.14 and 23,564.25 is: 35,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,495.89 : 110,254.14 = 23,564.25 : x
  2. Step 2: Convert to fraction form
    73,495.89/110,254.14 = 23,564.25/x
  3. Step 3: Cross multiply
    73,495.89x = 110,254.14 × 23,564.25
  4. Step 4: Simplify right side
    73,495.89x = 2,598,056,118.50
  5. Step 5: Solve for x
    x = 2,598,056,118.50/73,495.89
  6. Step 6: Final answer
    x = 35,349.68

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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.