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Finding the Fourth Proportional to 32,941.77, 45,454.74 and 20,014.32

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Solution

The fourth proportional to 32,941.77, 45,454.74 and 20,014.32 is: 27,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,941.77 : 45,454.74 = 20,014.32 : x
  2. Step 2: Convert to fraction form
    32,941.77/45,454.74 = 20,014.32/x
  3. Step 3: Cross multiply
    32,941.77x = 45,454.74 × 20,014.32
  4. Step 4: Simplify right side
    32,941.77x = 909,745,807.28
  5. Step 5: Solve for x
    x = 909,745,807.28/32,941.77
  6. Step 6: Final answer
    x = 27,616.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.