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Finding the Fourth Proportional to 30,238.50, 45,352.89 and 21,446.76

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Solution

The fourth proportional to 30,238.50, 45,352.89 and 21,446.76 is: 32,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,238.50 : 45,352.89 = 21,446.76 : x
  2. Step 2: Convert to fraction form
    30,238.50/45,352.89 = 21,446.76/x
  3. Step 3: Cross multiply
    30,238.50x = 45,352.89 × 21,446.76
  4. Step 4: Simplify right side
    30,238.50x = 972,672,547.14
  5. Step 5: Solve for x
    x = 972,672,547.14/30,238.50
  6. Step 6: Final answer
    x = 32,166.69

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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.