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Finding the Fourth Proportional to 62,972.64, 86,902.23 and 34,678.32

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Solution

The fourth proportional to 62,972.64, 86,902.23 and 34,678.32 is: 47,856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,972.64 : 86,902.23 = 34,678.32 : x
  2. Step 2: Convert to fraction form
    62,972.64/86,902.23 = 34,678.32/x
  3. Step 3: Cross multiply
    62,972.64x = 86,902.23 × 34,678.32
  4. Step 4: Simplify right side
    62,972.64x = 3,013,623,340.65
  5. Step 5: Solve for x
    x = 3,013,623,340.65/62,972.64
  6. Step 6: Final answer
    x = 47,856.07

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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.