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Finding the Fourth Proportional to 20,475, 30,712.50 and 5,883

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Solution

The fourth proportional to 20,475, 30,712.50 and 5,883 is: 8,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475 : 30,712.50 = 5,883 : x
  2. Step 2: Convert to fraction form
    20,475/30,712.50 = 5,883/x
  3. Step 3: Cross multiply
    20,475x = 30,712.50 × 5,883
  4. Step 4: Simplify right side
    20,475x = 180,681,637.50
  5. Step 5: Solve for x
    x = 180,681,637.50/20,475
  6. Step 6: Final answer
    x = 8,824.50

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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.