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Finding the Fourth Proportional to 62,424, 93,636 and 18,648

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Solution

The fourth proportional to 62,424, 93,636 and 18,648 is: 27,972

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,424 : 93,636 = 18,648 : x
  2. Step 2: Convert to fraction form
    62,424/93,636 = 18,648/x
  3. Step 3: Cross multiply
    62,424x = 93,636 × 18,648
  4. Step 4: Simplify right side
    62,424x = 1,746,124,128
  5. Step 5: Solve for x
    x = 1,746,124,128/62,424
  6. Step 6: Final answer
    x = 27,972

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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.