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Finding the Fourth Proportional to 70,780.56, 106,096.80 and 26,388

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Solution

The fourth proportional to 70,780.56, 106,096.80 and 26,388 is: 39,554.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,780.56 : 106,096.80 = 26,388 : x
  2. Step 2: Convert to fraction form
    70,780.56/106,096.80 = 26,388/x
  3. Step 3: Cross multiply
    70,780.56x = 106,096.80 × 26,388
  4. Step 4: Simplify right side
    70,780.56x = 2,799,682,358.40
  5. Step 5: Solve for x
    x = 2,799,682,358.40/70,780.56
  6. Step 6: Final answer
    x = 39,554.40

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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.