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Finding the Fourth Proportional to 72,969.60, 109,446.30 and 20,384.40

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Solution

The fourth proportional to 72,969.60, 109,446.30 and 20,384.40 is: 30,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,969.60 : 109,446.30 = 20,384.40 : x
  2. Step 2: Convert to fraction form
    72,969.60/109,446.30 = 20,384.40/x
  3. Step 3: Cross multiply
    72,969.60x = 109,446.30 × 20,384.40
  4. Step 4: Simplify right side
    72,969.60x = 2,230,997,157.72
  5. Step 5: Solve for x
    x = 2,230,997,157.72/72,969.60
  6. Step 6: Final answer
    x = 30,574.34

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1.5x scale

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.