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Finding the Fourth Proportional to 89,264.32, 133,811.01 and 33,089.35

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Solution

The fourth proportional to 89,264.32, 133,811.01 and 33,089.35 is: 49,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,264.32 : 133,811.01 = 33,089.35 : x
  2. Step 2: Convert to fraction form
    89,264.32/133,811.01 = 33,089.35/x
  3. Step 3: Cross multiply
    89,264.32x = 133,811.01 × 33,089.35
  4. Step 4: Simplify right side
    89,264.32x = 4,427,719,343.74
  5. Step 5: Solve for x
    x = 4,427,719,343.74/89,264.32
  6. Step 6: Final answer
    x = 49,602.34

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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.