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Finding the Fourth Proportional to 33,242.34, 49,897.32 and 16,614.30

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Solution

The fourth proportional to 33,242.34, 49,897.32 and 16,614.30 is: 24,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,242.34 : 49,897.32 = 16,614.30 : x
  2. Step 2: Convert to fraction form
    33,242.34/49,897.32 = 16,614.30/x
  3. Step 3: Cross multiply
    33,242.34x = 49,897.32 × 16,614.30
  4. Step 4: Simplify right side
    33,242.34x = 829,009,043.68
  5. Step 5: Solve for x
    x = 829,009,043.68/33,242.34
  6. Step 6: Final answer
    x = 24,938.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.