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Finding the Fourth Proportional to 46,200.80, 69,301.20 and 32,981.60

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Solution

The fourth proportional to 46,200.80, 69,301.20 and 32,981.60 is: 49,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,200.80 : 69,301.20 = 32,981.60 : x
  2. Step 2: Convert to fraction form
    46,200.80/69,301.20 = 32,981.60/x
  3. Step 3: Cross multiply
    46,200.80x = 69,301.20 × 32,981.60
  4. Step 4: Simplify right side
    46,200.80x = 2,285,664,457.92
  5. Step 5: Solve for x
    x = 2,285,664,457.92/46,200.80
  6. Step 6: Final answer
    x = 49,472.40

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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.