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Finding the Fourth Proportional to 96,318, 132,918.84 and 62,784

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Solution

The fourth proportional to 96,318, 132,918.84 and 62,784 is: 86,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,318 : 132,918.84 = 62,784 : x
  2. Step 2: Convert to fraction form
    96,318/132,918.84 = 62,784/x
  3. Step 3: Cross multiply
    96,318x = 132,918.84 × 62,784
  4. Step 4: Simplify right side
    96,318x = 8,345,176,450.56
  5. Step 5: Solve for x
    x = 8,345,176,450.56/96,318
  6. Step 6: Final answer
    x = 86,641.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.