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Finding the Fourth Proportional to 72,284.96, 108,416.48 and 19,698.64

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Solution

The fourth proportional to 72,284.96, 108,416.48 and 19,698.64 is: 29,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,284.96 : 108,416.48 = 19,698.64 : x
  2. Step 2: Convert to fraction form
    72,284.96/108,416.48 = 19,698.64/x
  3. Step 3: Cross multiply
    72,284.96x = 108,416.48 × 19,698.64
  4. Step 4: Simplify right side
    72,284.96x = 2,135,657,209.59
  5. Step 5: Solve for x
    x = 2,135,657,209.59/72,284.96
  6. Step 6: Final answer
    x = 29,544.97

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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.