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Finding the Fourth Proportional to 67,761.40, 101,642.10 and 30,825.40

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Solution

The fourth proportional to 67,761.40, 101,642.10 and 30,825.40 is: 46,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,761.40 : 101,642.10 = 30,825.40 : x
  2. Step 2: Convert to fraction form
    67,761.40/101,642.10 = 30,825.40/x
  3. Step 3: Cross multiply
    67,761.40x = 101,642.10 × 30,825.40
  4. Step 4: Simplify right side
    67,761.40x = 3,133,158,389.34
  5. Step 5: Solve for x
    x = 3,133,158,389.34/67,761.40
  6. Step 6: Final answer
    x = 46,238.10

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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.