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Finding the Fourth Proportional to 52,299, 78,448.50 and 15,363

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Solution

The fourth proportional to 52,299, 78,448.50 and 15,363 is: 23,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,299 : 78,448.50 = 15,363 : x
  2. Step 2: Convert to fraction form
    52,299/78,448.50 = 15,363/x
  3. Step 3: Cross multiply
    52,299x = 78,448.50 × 15,363
  4. Step 4: Simplify right side
    52,299x = 1,205,204,305.50
  5. Step 5: Solve for x
    x = 1,205,204,305.50/52,299
  6. Step 6: Final answer
    x = 23,044.50

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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.