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Finding the Fourth Proportional to 30,672,828.80, 45,970,168.80 and 16,302,780.80

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Solution

The fourth proportional to 30,672,828.80, 45,970,168.80 and 16,302,780.80 is: 24,433,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672,828.80 : 45,970,168.80 = 16,302,780.80 : x
  2. Step 2: Convert to fraction form
    30,672,828.80/45,970,168.80 = 16,302,780.80/x
  3. Step 3: Cross multiply
    30,672,828.80x = 45,970,168.80 × 16,302,780.80
  4. Step 4: Simplify right side
    30,672,828.80x = 749,441,585,285,399
  5. Step 5: Solve for x
    x = 749,441,585,285,399/30,672,828.80
  6. Step 6: Final answer
    x = 24,433,402.94

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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.