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Finding the Fourth Proportional to 30,444.72, 45,674.10 and 12,915.24

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Solution

The fourth proportional to 30,444.72, 45,674.10 and 12,915.24 is: 19,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,444.72 : 45,674.10 = 12,915.24 : x
  2. Step 2: Convert to fraction form
    30,444.72/45,674.10 = 12,915.24/x
  3. Step 3: Cross multiply
    30,444.72x = 45,674.10 × 12,915.24
  4. Step 4: Simplify right side
    30,444.72x = 589,891,963.28
  5. Step 5: Solve for x
    x = 589,891,963.28/30,444.72
  6. Step 6: Final answer
    x = 19,375.84

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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.