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Finding the Fourth Proportional to 89,501.84, 134,311.16 and 33,386.84

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Solution

The fourth proportional to 89,501.84, 134,311.16 and 33,386.84 is: 50,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,501.84 : 134,311.16 = 33,386.84 : x
  2. Step 2: Convert to fraction form
    89,501.84/134,311.16 = 33,386.84/x
  3. Step 3: Cross multiply
    89,501.84x = 134,311.16 × 33,386.84
  4. Step 4: Simplify right side
    89,501.84x = 4,484,225,209.13
  5. Step 5: Solve for x
    x = 4,484,225,209.13/89,501.84
  6. Step 6: Final answer
    x = 50,102.04

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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.