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Finding the Fourth Proportional to 29,970.63, 41,359.59 and 16,542

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Solution

The fourth proportional to 29,970.63, 41,359.59 and 16,542 is: 22,828.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970.63 : 41,359.59 = 16,542 : x
  2. Step 2: Convert to fraction form
    29,970.63/41,359.59 = 16,542/x
  3. Step 3: Cross multiply
    29,970.63x = 41,359.59 × 16,542
  4. Step 4: Simplify right side
    29,970.63x = 684,170,337.78
  5. Step 5: Solve for x
    x = 684,170,337.78/29,970.63
  6. Step 6: Final answer
    x = 22,828.03

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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.