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Finding the Fourth Proportional to 116,483.84, 174,664.32 and 50,784

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Solution

The fourth proportional to 116,483.84, 174,664.32 and 50,784 is: 76,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,483.84 : 174,664.32 = 50,784 : x
  2. Step 2: Convert to fraction form
    116,483.84/174,664.32 = 50,784/x
  3. Step 3: Cross multiply
    116,483.84x = 174,664.32 × 50,784
  4. Step 4: Simplify right side
    116,483.84x = 8,870,152,826.88
  5. Step 5: Solve for x
    x = 8,870,152,826.88/116,483.84
  6. Step 6: Final answer
    x = 76,149.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.