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Finding the Fourth Proportional to 30,432.60, 45,648.90 and 16,435.80

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Solution

The fourth proportional to 30,432.60, 45,648.90 and 16,435.80 is: 24,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,432.60 : 45,648.90 = 16,435.80 : x
  2. Step 2: Convert to fraction form
    30,432.60/45,648.90 = 16,435.80/x
  3. Step 3: Cross multiply
    30,432.60x = 45,648.90 × 16,435.80
  4. Step 4: Simplify right side
    30,432.60x = 750,276,190.62
  5. Step 5: Solve for x
    x = 750,276,190.62/30,432.60
  6. Step 6: Final answer
    x = 24,653.70

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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.