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Finding the Fourth Proportional to 30,165.83, 41,633.85 and 16,741.40

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Solution

The fourth proportional to 30,165.83, 41,633.85 and 16,741.40 is: 23,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165.83 : 41,633.85 = 16,741.40 : x
  2. Step 2: Convert to fraction form
    30,165.83/41,633.85 = 16,741.40/x
  3. Step 3: Cross multiply
    30,165.83x = 41,633.85 × 16,741.40
  4. Step 4: Simplify right side
    30,165.83x = 697,008,931.02
  5. Step 5: Solve for x
    x = 697,008,931.02/30,165.83
  6. Step 6: Final answer
    x = 23,105.91

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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.