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Finding the Fourth Proportional to 105,599.74, 158,384.73 and 26,709.10

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Solution

The fourth proportional to 105,599.74, 158,384.73 and 26,709.10 is: 40,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,599.74 : 158,384.73 = 26,709.10 : x
  2. Step 2: Convert to fraction form
    105,599.74/158,384.73 = 26,709.10/x
  3. Step 3: Cross multiply
    105,599.74x = 158,384.73 × 26,709.10
  4. Step 4: Simplify right side
    105,599.74x = 4,230,313,592.04
  5. Step 5: Solve for x
    x = 4,230,313,592.04/105,599.74
  6. Step 6: Final answer
    x = 40,059.89

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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.