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Finding the Fourth Proportional to 70,961.40, 106,301.70 and 46,018.80

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Solution

The fourth proportional to 70,961.40, 106,301.70 and 46,018.80 is: 68,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,961.40 : 106,301.70 = 46,018.80 : x
  2. Step 2: Convert to fraction form
    70,961.40/106,301.70 = 46,018.80/x
  3. Step 3: Cross multiply
    70,961.40x = 106,301.70 × 46,018.80
  4. Step 4: Simplify right side
    70,961.40x = 4,891,876,671.96
  5. Step 5: Solve for x
    x = 4,891,876,671.96/70,961.40
  6. Step 6: Final answer
    x = 68,937.15

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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.