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Finding the Fourth Proportional to 70,169.16, 105,252.26 and 22,784.20

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Solution

The fourth proportional to 70,169.16, 105,252.26 and 22,784.20 is: 34,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,169.16 : 105,252.26 = 22,784.20 : x
  2. Step 2: Convert to fraction form
    70,169.16/105,252.26 = 22,784.20/x
  3. Step 3: Cross multiply
    70,169.16x = 105,252.26 × 22,784.20
  4. Step 4: Simplify right side
    70,169.16x = 2,398,088,542.29
  5. Step 5: Solve for x
    x = 2,398,088,542.29/70,169.16
  6. Step 6: Final answer
    x = 34,175.82

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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.