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Finding the Fourth Proportional to 53,815.40, 80,723.10 and 30,487.40

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Solution

The fourth proportional to 53,815.40, 80,723.10 and 30,487.40 is: 45,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,815.40 : 80,723.10 = 30,487.40 : x
  2. Step 2: Convert to fraction form
    53,815.40/80,723.10 = 30,487.40/x
  3. Step 3: Cross multiply
    53,815.40x = 80,723.10 × 30,487.40
  4. Step 4: Simplify right side
    53,815.40x = 2,461,037,438.94
  5. Step 5: Solve for x
    x = 2,461,037,438.94/53,815.40
  6. Step 6: Final answer
    x = 45,731.10

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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.