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Finding the Fourth Proportional to 52,584, 78,876.54 and 15,648

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Solution

The fourth proportional to 52,584, 78,876.54 and 15,648 is: 23,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,584 : 78,876.54 = 15,648 : x
  2. Step 2: Convert to fraction form
    52,584/78,876.54 = 15,648/x
  3. Step 3: Cross multiply
    52,584x = 78,876.54 × 15,648
  4. Step 4: Simplify right side
    52,584x = 1,234,260,097.92
  5. Step 5: Solve for x
    x = 1,234,260,097.92/52,584
  6. Step 6: Final answer
    x = 23,472.16

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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.