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Finding the Fourth Proportional to 89,370.32, 134,055.48 and 30,206

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Solution

The fourth proportional to 89,370.32, 134,055.48 and 30,206 is: 45,309

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,370.32 : 134,055.48 = 30,206 : x
  2. Step 2: Convert to fraction form
    89,370.32/134,055.48 = 30,206/x
  3. Step 3: Cross multiply
    89,370.32x = 134,055.48 × 30,206
  4. Step 4: Simplify right side
    89,370.32x = 4,049,279,828.88
  5. Step 5: Solve for x
    x = 4,049,279,828.88/89,370.32
  6. Step 6: Final answer
    x = 45,309

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.