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Finding the Fourth Proportional to 49,577.60, 74,350.60 and 16,289.96

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Solution

The fourth proportional to 49,577.60, 74,350.60 and 16,289.96 is: 24,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,577.60 : 74,350.60 = 16,289.96 : x
  2. Step 2: Convert to fraction form
    49,577.60/74,350.60 = 16,289.96/x
  3. Step 3: Cross multiply
    49,577.60x = 74,350.60 × 16,289.96
  4. Step 4: Simplify right side
    49,577.60x = 1,211,167,887.50
  5. Step 5: Solve for x
    x = 1,211,167,887.50/49,577.60
  6. Step 6: Final answer
    x = 24,429.74

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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.