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Finding the Fourth Proportional to 30,409.32, 45,613.98 and 24,292.20

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Solution

The fourth proportional to 30,409.32, 45,613.98 and 24,292.20 is: 36,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.32 : 45,613.98 = 24,292.20 : x
  2. Step 2: Convert to fraction form
    30,409.32/45,613.98 = 24,292.20/x
  3. Step 3: Cross multiply
    30,409.32x = 45,613.98 × 24,292.20
  4. Step 4: Simplify right side
    30,409.32x = 1,108,063,924.96
  5. Step 5: Solve for x
    x = 1,108,063,924.96/30,409.32
  6. Step 6: Final answer
    x = 36,438.30

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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.