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Finding the Fourth Proportional to 30,832.32, 46,216.08 and 15,013.92

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Solution

The fourth proportional to 30,832.32, 46,216.08 and 15,013.92 is: 22,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.32 : 46,216.08 = 15,013.92 : x
  2. Step 2: Convert to fraction form
    30,832.32/46,216.08 = 15,013.92/x
  3. Step 3: Cross multiply
    30,832.32x = 46,216.08 × 15,013.92
  4. Step 4: Simplify right side
    30,832.32x = 693,884,527.83
  5. Step 5: Solve for x
    x = 693,884,527.83/30,832.32
  6. Step 6: Final answer
    x = 22,505.10

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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.