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Finding the Fourth Proportional to 52,298, 78,447 and 15,362

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Solution

The fourth proportional to 52,298, 78,447 and 15,362 is: 23,043

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,298 : 78,447 = 15,362 : x
  2. Step 2: Convert to fraction form
    52,298/78,447 = 15,362/x
  3. Step 3: Cross multiply
    52,298x = 78,447 × 15,362
  4. Step 4: Simplify right side
    52,298x = 1,205,102,814
  5. Step 5: Solve for x
    x = 1,205,102,814/52,298
  6. Step 6: Final answer
    x = 23,043

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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.