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Finding the Fourth Proportional to 52,045, 78,069.66 and 15,109

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Solution

The fourth proportional to 52,045, 78,069.66 and 15,109 is: 22,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,045 : 78,069.66 = 15,109 : x
  2. Step 2: Convert to fraction form
    52,045/78,069.66 = 15,109/x
  3. Step 3: Cross multiply
    52,045x = 78,069.66 × 15,109
  4. Step 4: Simplify right side
    52,045x = 1,179,554,492.94
  5. Step 5: Solve for x
    x = 1,179,554,492.94/52,045
  6. Step 6: Final answer
    x = 22,664.13

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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.