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Finding the Fourth Proportional to 72,165.60, 108,190.80 and 30,578.40

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Solution

The fourth proportional to 72,165.60, 108,190.80 and 30,578.40 is: 45,843.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,165.60 : 108,190.80 = 30,578.40 : x
  2. Step 2: Convert to fraction form
    72,165.60/108,190.80 = 30,578.40/x
  3. Step 3: Cross multiply
    72,165.60x = 108,190.80 × 30,578.40
  4. Step 4: Simplify right side
    72,165.60x = 3,308,301,558.72
  5. Step 5: Solve for x
    x = 3,308,301,558.72/72,165.60
  6. Step 6: Final answer
    x = 45,843.19

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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.