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Finding the Fourth Proportional to 67,133.16, 100,699.71 and 31,966.20

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Solution

The fourth proportional to 67,133.16, 100,699.71 and 31,966.20 is: 47,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,133.16 : 100,699.71 = 31,966.20 : x
  2. Step 2: Convert to fraction form
    67,133.16/100,699.71 = 31,966.20/x
  3. Step 3: Cross multiply
    67,133.16x = 100,699.71 × 31,966.20
  4. Step 4: Simplify right side
    67,133.16x = 3,218,986,949.93
  5. Step 5: Solve for x
    x = 3,218,986,949.93/67,133.16
  6. Step 6: Final answer
    x = 47,949.28

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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.