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Finding the Fourth Proportional to 103,083.60, 154,649.70 and 32,963.52

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Solution

The fourth proportional to 103,083.60, 154,649.70 and 32,963.52 is: 49,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,083.60 : 154,649.70 = 32,963.52 : x
  2. Step 2: Convert to fraction form
    103,083.60/154,649.70 = 32,963.52/x
  3. Step 3: Cross multiply
    103,083.60x = 154,649.70 × 32,963.52
  4. Step 4: Simplify right side
    103,083.60x = 5,097,798,478.94
  5. Step 5: Solve for x
    x = 5,097,798,478.94/103,083.60
  6. Step 6: Final answer
    x = 49,453.05

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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.