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Finding the Fourth Proportional to 105,635.78, 158,459.45 and 26,750.69

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Solution

The fourth proportional to 105,635.78, 158,459.45 and 26,750.69 is: 40,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,635.78 : 158,459.45 = 26,750.69 : x
  2. Step 2: Convert to fraction form
    105,635.78/158,459.45 = 26,750.69/x
  3. Step 3: Cross multiply
    105,635.78x = 158,459.45 × 26,750.69
  4. Step 4: Simplify right side
    105,635.78x = 4,238,899,624.52
  5. Step 5: Solve for x
    x = 4,238,899,624.52/105,635.78
  6. Step 6: Final answer
    x = 40,127.50

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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.