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Finding the Fourth Proportional to 46,761.64, 70,142.68 and 11,701.20

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Solution

The fourth proportional to 46,761.64, 70,142.68 and 11,701.20 is: 17,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,761.64 : 70,142.68 = 11,701.20 : x
  2. Step 2: Convert to fraction form
    46,761.64/70,142.68 = 11,701.20/x
  3. Step 3: Cross multiply
    46,761.64x = 70,142.68 × 11,701.20
  4. Step 4: Simplify right side
    46,761.64x = 820,753,527.22
  5. Step 5: Solve for x
    x = 820,753,527.22/46,761.64
  6. Step 6: Final answer
    x = 17,551.86

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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.