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Finding the Fourth Proportional to 30,271.34, 45,365.42 and 15,449.16

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Solution

The fourth proportional to 30,271.34, 45,365.42 and 15,449.16 is: 23,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271.34 : 45,365.42 = 15,449.16 : x
  2. Step 2: Convert to fraction form
    30,271.34/45,365.42 = 15,449.16/x
  3. Step 3: Cross multiply
    30,271.34x = 45,365.42 × 15,449.16
  4. Step 4: Simplify right side
    30,271.34x = 700,857,632.05
  5. Step 5: Solve for x
    x = 700,857,632.05/30,271.34
  6. Step 6: Final answer
    x = 23,152.51

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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.