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Finding the Fourth Proportional to 19,421, 29,131.52 and 4,829

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Solution

The fourth proportional to 19,421, 29,131.52 and 4,829 is: 7,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,421 : 29,131.52 = 4,829 : x
  2. Step 2: Convert to fraction form
    19,421/29,131.52 = 4,829/x
  3. Step 3: Cross multiply
    19,421x = 29,131.52 × 4,829
  4. Step 4: Simplify right side
    19,421x = 140,676,110.08
  5. Step 5: Solve for x
    x = 140,676,110.08/19,421
  6. Step 6: Final answer
    x = 7,243.50

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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.