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Finding the Fourth Proportional to 32,749.40, 49,123.95 and 9,375.84

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Solution

The fourth proportional to 32,749.40, 49,123.95 and 9,375.84 is: 14,063.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,749.40 : 49,123.95 = 9,375.84 : x
  2. Step 2: Convert to fraction form
    32,749.40/49,123.95 = 9,375.84/x
  3. Step 3: Cross multiply
    32,749.40x = 49,123.95 × 9,375.84
  4. Step 4: Simplify right side
    32,749.40x = 460,578,295.37
  5. Step 5: Solve for x
    x = 460,578,295.37/32,749.40
  6. Step 6: Final answer
    x = 14,063.72

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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.