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Finding the Fourth Proportional to 30,622.50, 45,951.30 and 16,582.50

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Solution

The fourth proportional to 30,622.50, 45,951.30 and 16,582.50 is: 24,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,622.50 : 45,951.30 = 16,582.50 : x
  2. Step 2: Convert to fraction form
    30,622.50/45,951.30 = 16,582.50/x
  3. Step 3: Cross multiply
    30,622.50x = 45,951.30 × 16,582.50
  4. Step 4: Simplify right side
    30,622.50x = 761,987,432.25
  5. Step 5: Solve for x
    x = 761,987,432.25/30,622.50
  6. Step 6: Final answer
    x = 24,883.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.