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Finding the Fourth Proportional to 72,903.87, 109,352.70 and 23,019.75

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Solution

The fourth proportional to 72,903.87, 109,352.70 and 23,019.75 is: 34,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,903.87 : 109,352.70 = 23,019.75 : x
  2. Step 2: Convert to fraction form
    72,903.87/109,352.70 = 23,019.75/x
  3. Step 3: Cross multiply
    72,903.87x = 109,352.70 × 23,019.75
  4. Step 4: Simplify right side
    72,903.87x = 2,517,271,815.83
  5. Step 5: Solve for x
    x = 2,517,271,815.83/72,903.87
  6. Step 6: Final answer
    x = 34,528.64

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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.