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Finding the Fourth Proportional to 30,410.32, 45,615.48 and 24,293.20

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Solution

The fourth proportional to 30,410.32, 45,615.48 and 24,293.20 is: 36,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,410.32 : 45,615.48 = 24,293.20 : x
  2. Step 2: Convert to fraction form
    30,410.32/45,615.48 = 24,293.20/x
  3. Step 3: Cross multiply
    30,410.32x = 45,615.48 × 24,293.20
  4. Step 4: Simplify right side
    30,410.32x = 1,108,145,978.74
  5. Step 5: Solve for x
    x = 1,108,145,978.74/30,410.32
  6. Step 6: Final answer
    x = 36,439.80

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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.