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Finding the Fourth Proportional to 72,928.19, 109,410.75 and 20,337.68

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Solution

The fourth proportional to 72,928.19, 109,410.75 and 20,337.68 is: 30,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,928.19 : 109,410.75 = 20,337.68 : x
  2. Step 2: Convert to fraction form
    72,928.19/109,410.75 = 20,337.68/x
  3. Step 3: Cross multiply
    72,928.19x = 109,410.75 × 20,337.68
  4. Step 4: Simplify right side
    72,928.19x = 2,225,161,095.59
  5. Step 5: Solve for x
    x = 2,225,161,095.59/72,928.19
  6. Step 6: Final answer
    x = 30,511.67

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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.