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Finding the Fourth Proportional to 70,783.18, 106,064.58 and 26,398

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Solution

The fourth proportional to 70,783.18, 106,064.58 and 26,398 is: 39,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,783.18 : 106,064.58 = 26,398 : x
  2. Step 2: Convert to fraction form
    70,783.18/106,064.58 = 26,398/x
  3. Step 3: Cross multiply
    70,783.18x = 106,064.58 × 26,398
  4. Step 4: Simplify right side
    70,783.18x = 2,799,892,782.84
  5. Step 5: Solve for x
    x = 2,799,892,782.84/70,783.18
  6. Step 6: Final answer
    x = 39,555.91

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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.