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Finding the Fourth Proportional to 106,099.76, 159,219.74 and 49,955.92

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Solution

The fourth proportional to 106,099.76, 159,219.74 and 49,955.92 is: 74,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,099.76 : 159,219.74 = 49,955.92 : x
  2. Step 2: Convert to fraction form
    106,099.76/159,219.74 = 49,955.92/x
  3. Step 3: Cross multiply
    106,099.76x = 159,219.74 × 49,955.92
  4. Step 4: Simplify right side
    106,099.76x = 7,953,968,320.70
  5. Step 5: Solve for x
    x = 7,953,968,320.70/106,099.76
  6. Step 6: Final answer
    x = 74,966.89

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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.