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Finding the Fourth Proportional to 52,517, 78,775.50 and 13,605

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Solution

The fourth proportional to 52,517, 78,775.50 and 13,605 is: 20,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,517 : 78,775.50 = 13,605 : x
  2. Step 2: Convert to fraction form
    52,517/78,775.50 = 13,605/x
  3. Step 3: Cross multiply
    52,517x = 78,775.50 × 13,605
  4. Step 4: Simplify right side
    52,517x = 1,071,740,677.50
  5. Step 5: Solve for x
    x = 1,071,740,677.50/52,517
  6. Step 6: Final answer
    x = 20,407.50

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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.