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Finding the Fourth Proportional to 32,748.96, 49,125.12 and 9,378.84

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Solution

The fourth proportional to 32,748.96, 49,125.12 and 9,378.84 is: 14,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,748.96 : 49,125.12 = 9,378.84 : x
  2. Step 2: Convert to fraction form
    32,748.96/49,125.12 = 9,378.84/x
  3. Step 3: Cross multiply
    32,748.96x = 49,125.12 × 9,378.84
  4. Step 4: Simplify right side
    32,748.96x = 460,736,640.46
  5. Step 5: Solve for x
    x = 460,736,640.46/32,748.96
  6. Step 6: Final answer
    x = 14,068.74

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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.