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Finding the Fourth Proportional to 35,730.50, 53,620.32 and 12,356.96

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Solution

The fourth proportional to 35,730.50, 53,620.32 and 12,356.96 is: 18,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,730.50 : 53,620.32 = 12,356.96 : x
  2. Step 2: Convert to fraction form
    35,730.50/53,620.32 = 12,356.96/x
  3. Step 3: Cross multiply
    35,730.50x = 53,620.32 × 12,356.96
  4. Step 4: Simplify right side
    35,730.50x = 662,584,149.43
  5. Step 5: Solve for x
    x = 662,584,149.43/35,730.50
  6. Step 6: Final answer
    x = 18,543.94

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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.