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Finding the Fourth Proportional to 70,182.97, 105,276.38 and 23,434.17

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Solution

The fourth proportional to 70,182.97, 105,276.38 and 23,434.17 is: 35,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,182.97 : 105,276.38 = 23,434.17 : x
  2. Step 2: Convert to fraction form
    70,182.97/105,276.38 = 23,434.17/x
  3. Step 3: Cross multiply
    70,182.97x = 105,276.38 × 23,434.17
  4. Step 4: Simplify right side
    70,182.97x = 2,467,064,585.90
  5. Step 5: Solve for x
    x = 2,467,064,585.90/70,182.97
  6. Step 6: Final answer
    x = 35,151.90

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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.