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Finding the Fourth Proportional to 72,952.32, 109,447.68 and 33,477.12

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Solution

The fourth proportional to 72,952.32, 109,447.68 and 33,477.12 is: 50,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,952.32 : 109,447.68 = 33,477.12 : x
  2. Step 2: Convert to fraction form
    72,952.32/109,447.68 = 33,477.12/x
  3. Step 3: Cross multiply
    72,952.32x = 109,447.68 × 33,477.12
  4. Step 4: Simplify right side
    72,952.32x = 3,663,993,117.08
  5. Step 5: Solve for x
    x = 3,663,993,117.08/72,952.32
  6. Step 6: Final answer
    x = 50,224.49

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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.