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Finding the Fourth Proportional to 89,371.32, 134,056.98 and 30,207

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Solution

The fourth proportional to 89,371.32, 134,056.98 and 30,207 is: 45,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,371.32 : 134,056.98 = 30,207 : x
  2. Step 2: Convert to fraction form
    89,371.32/134,056.98 = 30,207/x
  3. Step 3: Cross multiply
    89,371.32x = 134,056.98 × 30,207
  4. Step 4: Simplify right side
    89,371.32x = 4,049,459,194.86
  5. Step 5: Solve for x
    x = 4,049,459,194.86/89,371.32
  6. Step 6: Final answer
    x = 45,310.50

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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.