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Finding the Fourth Proportional to 89,079.76, 133,583.76 and 32,137.48

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Solution

The fourth proportional to 89,079.76, 133,583.76 and 32,137.48 is: 48,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,079.76 : 133,583.76 = 32,137.48 : x
  2. Step 2: Convert to fraction form
    89,079.76/133,583.76 = 32,137.48/x
  3. Step 3: Cross multiply
    89,079.76x = 133,583.76 × 32,137.48
  4. Step 4: Simplify right side
    89,079.76x = 4,293,045,415.32
  5. Step 5: Solve for x
    x = 4,293,045,415.32/89,079.76
  6. Step 6: Final answer
    x = 48,193.28

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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.