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Finding the Fourth Proportional to 34,416.08, 51,624 and 19,416.40

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Solution

The fourth proportional to 34,416.08, 51,624 and 19,416.40 is: 29,124.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,416.08 : 51,624 = 19,416.40 : x
  2. Step 2: Convert to fraction form
    34,416.08/51,624 = 19,416.40/x
  3. Step 3: Cross multiply
    34,416.08x = 51,624 × 19,416.40
  4. Step 4: Simplify right side
    34,416.08x = 1,002,352,104.54
  5. Step 5: Solve for x
    x = 1,002,352,104.54/34,416.08
  6. Step 6: Final answer
    x = 29,124.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.