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Finding the Fourth Proportional to 32,542.40, 48,813.60 and 19,409.60

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Solution

The fourth proportional to 32,542.40, 48,813.60 and 19,409.60 is: 29,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,542.40 : 48,813.60 = 19,409.60 : x
  2. Step 2: Convert to fraction form
    32,542.40/48,813.60 = 19,409.60/x
  3. Step 3: Cross multiply
    32,542.40x = 48,813.60 × 19,409.60
  4. Step 4: Simplify right side
    32,542.40x = 947,452,450.56
  5. Step 5: Solve for x
    x = 947,452,450.56/32,542.40
  6. Step 6: Final answer
    x = 29,114.40

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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.