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Finding the Fourth Proportional to 33,347.34, 50,013.57 and 9,970.74

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Solution

The fourth proportional to 33,347.34, 50,013.57 and 9,970.74 is: 14,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,347.34 : 50,013.57 = 9,970.74 : x
  2. Step 2: Convert to fraction form
    33,347.34/50,013.57 = 9,970.74/x
  3. Step 3: Cross multiply
    33,347.34x = 50,013.57 × 9,970.74
  4. Step 4: Simplify right side
    33,347.34x = 498,672,302.94
  5. Step 5: Solve for x
    x = 498,672,302.94/33,347.34
  6. Step 6: Final answer
    x = 14,953.89

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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.