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Finding the Fourth Proportional to 30,129.60, 45,194.40 and 16,132.80

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Solution

The fourth proportional to 30,129.60, 45,194.40 and 16,132.80 is: 24,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,129.60 : 45,194.40 = 16,132.80 : x
  2. Step 2: Convert to fraction form
    30,129.60/45,194.40 = 16,132.80/x
  3. Step 3: Cross multiply
    30,129.60x = 45,194.40 × 16,132.80
  4. Step 4: Simplify right side
    30,129.60x = 729,112,216.32
  5. Step 5: Solve for x
    x = 729,112,216.32/30,129.60
  6. Step 6: Final answer
    x = 24,199.20

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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.