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Finding the Fourth Proportional to 29,898.75, 41,262.15 and 16,470

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Solution

The fourth proportional to 29,898.75, 41,262.15 and 16,470 is: 22,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,898.75 : 41,262.15 = 16,470 : x
  2. Step 2: Convert to fraction form
    29,898.75/41,262.15 = 16,470/x
  3. Step 3: Cross multiply
    29,898.75x = 41,262.15 × 16,470
  4. Step 4: Simplify right side
    29,898.75x = 679,587,610.50
  5. Step 5: Solve for x
    x = 679,587,610.50/29,898.75
  6. Step 6: Final answer
    x = 22,729.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.